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Finding the Fourth Proportional to 157,187.69, 216,919.01 and 85,568.23

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Solution

The fourth proportional to 157,187.69, 216,919.01 and 85,568.23 is: 118,084.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,187.69 : 216,919.01 = 85,568.23 : x
  2. Step 2: Convert to fraction form
    157,187.69/216,919.01 = 85,568.23/x
  3. Step 3: Cross multiply
    157,187.69x = 216,919.01 × 85,568.23
  4. Step 4: Simplify right side
    157,187.69x = 18,561,376,224.12
  5. Step 5: Solve for x
    x = 18,561,376,224.12/157,187.69
  6. Step 6: Final answer
    x = 118,084.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.