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Finding the Fourth Proportional to 142,854.32, 214,279.65 and 48,105.38

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Solution

The fourth proportional to 142,854.32, 214,279.65 and 48,105.38 is: 72,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,854.32 : 214,279.65 = 48,105.38 : x
  2. Step 2: Convert to fraction form
    142,854.32/214,279.65 = 48,105.38/x
  3. Step 3: Cross multiply
    142,854.32x = 214,279.65 × 48,105.38
  4. Step 4: Simplify right side
    142,854.32x = 10,308,002,918.12
  5. Step 5: Solve for x
    x = 10,308,002,918.12/142,854.32
  6. Step 6: Final answer
    x = 72,157.45

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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.