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Finding the Fourth Proportional to 157,187.83, 216,919.22 and 85,568.38

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Solution

The fourth proportional to 157,187.83, 216,919.22 and 85,568.38 is: 118,084.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,187.83 : 216,919.22 = 85,568.38 : x
  2. Step 2: Convert to fraction form
    157,187.83/216,919.22 = 85,568.38/x
  3. Step 3: Cross multiply
    157,187.83x = 216,919.22 × 85,568.38
  4. Step 4: Simplify right side
    157,187.83x = 18,561,426,246.26
  5. Step 5: Solve for x
    x = 18,561,426,246.26/157,187.83
  6. Step 6: Final answer
    x = 118,084.37

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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.