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Finding the Fourth Proportional to 142,953.14, 214,347.65 and 54,150

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Solution

The fourth proportional to 142,953.14, 214,347.65 and 54,150 is: 81,193.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,953.14 : 214,347.65 = 54,150 : x
  2. Step 2: Convert to fraction form
    142,953.14/214,347.65 = 54,150/x
  3. Step 3: Cross multiply
    142,953.14x = 214,347.65 × 54,150
  4. Step 4: Simplify right side
    142,953.14x = 11,606,924,976.75
  5. Step 5: Solve for x
    x = 11,606,924,976.75/142,953.14
  6. Step 6: Final answer
    x = 81,193.92

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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.