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Finding the Fourth Proportional to 157,088.56, 216,765.80 and 89,083.80

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Solution

The fourth proportional to 157,088.56, 216,765.80 and 89,083.80 is: 122,926.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,088.56 : 216,765.80 = 89,083.80 : x
  2. Step 2: Convert to fraction form
    157,088.56/216,765.80 = 89,083.80/x
  3. Step 3: Cross multiply
    157,088.56x = 216,765.80 × 89,083.80
  4. Step 4: Simplify right side
    157,088.56x = 19,310,321,174.04
  5. Step 5: Solve for x
    x = 19,310,321,174.04/157,088.56
  6. Step 6: Final answer
    x = 122,926.34

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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.