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Finding the Fourth Proportional to 102,599.34, 153,862.17 and 43,439.22

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Solution

The fourth proportional to 102,599.34, 153,862.17 and 43,439.22 is: 65,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,599.34 : 153,862.17 = 43,439.22 : x
  2. Step 2: Convert to fraction form
    102,599.34/153,862.17 = 43,439.22/x
  3. Step 3: Cross multiply
    102,599.34x = 153,862.17 × 43,439.22
  4. Step 4: Simplify right side
    102,599.34x = 6,683,652,652.31
  5. Step 5: Solve for x
    x = 6,683,652,652.31/102,599.34
  6. Step 6: Final answer
    x = 65,143.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.