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Finding the Fourth Proportional to 157,140.34, 216,858.50 and 89,160.15

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Solution

The fourth proportional to 157,140.34, 216,858.50 and 89,160.15 is: 123,043.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,140.34 : 216,858.50 = 89,160.15 : x
  2. Step 2: Convert to fraction form
    157,140.34/216,858.50 = 89,160.15/x
  3. Step 3: Cross multiply
    157,140.34x = 216,858.50 × 89,160.15
  4. Step 4: Simplify right side
    157,140.34x = 19,335,136,388.78
  5. Step 5: Solve for x
    x = 19,335,136,388.78/157,140.34
  6. Step 6: Final answer
    x = 123,043.75

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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.