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Finding the Fourth Proportional to 142,232.60, 213,352.14 and 48,737

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Solution

The fourth proportional to 142,232.60, 213,352.14 and 48,737 is: 73,106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,232.60 : 213,352.14 = 48,737 : x
  2. Step 2: Convert to fraction form
    142,232.60/213,352.14 = 48,737/x
  3. Step 3: Cross multiply
    142,232.60x = 213,352.14 × 48,737
  4. Step 4: Simplify right side
    142,232.60x = 10,398,143,247.18
  5. Step 5: Solve for x
    x = 10,398,143,247.18/142,232.60
  6. Step 6: Final answer
    x = 73,106.61

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Why These Related Problems?

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