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Finding the Fourth Proportional to 310,073.28, 465,158.64 and 132,581.28

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Solution

The fourth proportional to 310,073.28, 465,158.64 and 132,581.28 is: 198,892.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,073.28 : 465,158.64 = 132,581.28 : x
  2. Step 2: Convert to fraction form
    310,073.28/465,158.64 = 132,581.28/x
  3. Step 3: Cross multiply
    310,073.28x = 465,158.64 × 132,581.28
  4. Step 4: Simplify right side
    310,073.28x = 61,671,327,894.26
  5. Step 5: Solve for x
    x = 61,671,327,894.26/310,073.28
  6. Step 6: Final answer
    x = 198,892.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.