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Finding the Fourth Proportional to 157,863.38, 236,718.32 and 52,646.81

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Solution

The fourth proportional to 157,863.38, 236,718.32 and 52,646.81 is: 78,944.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,863.38 : 236,718.32 = 52,646.81 : x
  2. Step 2: Convert to fraction form
    157,863.38/236,718.32 = 52,646.81/x
  3. Step 3: Cross multiply
    157,863.38x = 236,718.32 × 52,646.81
  4. Step 4: Simplify right side
    157,863.38x = 12,462,465,139.97
  5. Step 5: Solve for x
    x = 12,462,465,139.97/157,863.38
  6. Step 6: Final answer
    x = 78,944.62

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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.