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Finding the Fourth Proportional to 150,411.45, 207,541.49 and 85,851.21

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Solution

The fourth proportional to 150,411.45, 207,541.49 and 85,851.21 is: 118,459.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,411.45 : 207,541.49 = 85,851.21 : x
  2. Step 2: Convert to fraction form
    150,411.45/207,541.49 = 85,851.21/x
  3. Step 3: Cross multiply
    150,411.45x = 207,541.49 × 85,851.21
  4. Step 4: Simplify right side
    150,411.45x = 17,817,687,156.11
  5. Step 5: Solve for x
    x = 17,817,687,156.11/150,411.45
  6. Step 6: Final answer
    x = 118,459.65

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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.