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Finding the Fourth Proportional to 157,535.01, 217,395.97 and 85,914.88

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Solution

The fourth proportional to 157,535.01, 217,395.97 and 85,914.88 is: 118,561.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,535.01 : 217,395.97 = 85,914.88 : x
  2. Step 2: Convert to fraction form
    157,535.01/217,395.97 = 85,914.88/x
  3. Step 3: Cross multiply
    157,535.01x = 217,395.97 × 85,914.88
  4. Step 4: Simplify right side
    157,535.01x = 18,677,547,916.76
  5. Step 5: Solve for x
    x = 18,677,547,916.76/157,535.01
  6. Step 6: Final answer
    x = 118,561.25

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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.