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Finding the Fourth Proportional to 164,160.87, 226,728.86 and 110,352.57

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Solution

The fourth proportional to 164,160.87, 226,728.86 and 110,352.57 is: 152,412.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,160.87 : 226,728.86 = 110,352.57 : x
  2. Step 2: Convert to fraction form
    164,160.87/226,728.86 = 110,352.57/x
  3. Step 3: Cross multiply
    164,160.87x = 226,728.86 × 110,352.57
  4. Step 4: Simplify right side
    164,160.87x = 25,020,111,842.41
  5. Step 5: Solve for x
    x = 25,020,111,842.41/164,160.87
  6. Step 6: Final answer
    x = 152,412.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.