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Finding the Fourth Proportional to 142,057.32, 213,030.28 and 53,262.42

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Solution

The fourth proportional to 142,057.32, 213,030.28 and 53,262.42 is: 79,872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,057.32 : 213,030.28 = 53,262.42 : x
  2. Step 2: Convert to fraction form
    142,057.32/213,030.28 = 53,262.42/x
  3. Step 3: Cross multiply
    142,057.32x = 213,030.28 × 53,262.42
  4. Step 4: Simplify right side
    142,057.32x = 11,346,508,246.08
  5. Step 5: Solve for x
    x = 11,346,508,246.08/142,057.32
  6. Step 6: Final answer
    x = 79,872.75

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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.