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Finding the Fourth Proportional to 157,202.25, 216,926.65 and 89,219.22

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Solution

The fourth proportional to 157,202.25, 216,926.65 and 89,219.22 is: 123,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,202.25 : 216,926.65 = 89,219.22 : x
  2. Step 2: Convert to fraction form
    157,202.25/216,926.65 = 89,219.22/x
  3. Step 3: Cross multiply
    157,202.25x = 216,926.65 × 89,219.22
  4. Step 4: Simplify right side
    157,202.25x = 19,354,026,510.21
  5. Step 5: Solve for x
    x = 19,354,026,510.21/157,202.25
  6. Step 6: Final answer
    x = 123,115.45

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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.