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Finding the Fourth Proportional to 119,308.96, 164,637.92 and 65,592.64

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Solution

The fourth proportional to 119,308.96, 164,637.92 and 65,592.64 is: 90,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,308.96 : 164,637.92 = 65,592.64 : x
  2. Step 2: Convert to fraction form
    119,308.96/164,637.92 = 65,592.64/x
  3. Step 3: Cross multiply
    119,308.96x = 164,637.92 × 65,592.64
  4. Step 4: Simplify right side
    119,308.96x = 10,799,035,816.91
  5. Step 5: Solve for x
    x = 10,799,035,816.91/119,308.96
  6. Step 6: Final answer
    x = 90,513.20

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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.