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Finding the Fourth Proportional to 164,717.87, 227,140.94 and 140,923.31

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Solution

The fourth proportional to 164,717.87, 227,140.94 and 140,923.31 is: 194,328.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,717.87 : 227,140.94 = 140,923.31 : x
  2. Step 2: Convert to fraction form
    164,717.87/227,140.94 = 140,923.31/x
  3. Step 3: Cross multiply
    164,717.87x = 227,140.94 × 140,923.31
  4. Step 4: Simplify right side
    164,717.87x = 32,009,452,317.92
  5. Step 5: Solve for x
    x = 32,009,452,317.92/164,717.87
  6. Step 6: Final answer
    x = 194,328.97

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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.