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Finding the Fourth Proportional to 142,109.52, 212,931 and 48,564.24

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Solution

The fourth proportional to 142,109.52, 212,931 and 48,564.24 is: 72,766.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,109.52 : 212,931 = 48,564.24 : x
  2. Step 2: Convert to fraction form
    142,109.52/212,931 = 48,564.24/x
  3. Step 3: Cross multiply
    142,109.52x = 212,931 × 48,564.24
  4. Step 4: Simplify right side
    142,109.52x = 10,340,832,187.44
  5. Step 5: Solve for x
    x = 10,340,832,187.44/142,109.52
  6. Step 6: Final answer
    x = 72,766.64

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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.