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Finding the Fourth Proportional to 119,313.48, 164,657.16 and 65,602.92

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Solution

The fourth proportional to 119,313.48, 164,657.16 and 65,602.92 is: 90,534.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,313.48 : 164,657.16 = 65,602.92 : x
  2. Step 2: Convert to fraction form
    119,313.48/164,657.16 = 65,602.92/x
  3. Step 3: Cross multiply
    119,313.48x = 164,657.16 × 65,602.92
  4. Step 4: Simplify right side
    119,313.48x = 10,801,990,494.91
  5. Step 5: Solve for x
    x = 10,801,990,494.91/119,313.48
  6. Step 6: Final answer
    x = 90,534.54

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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.