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Finding the Fourth Proportional to 142,821.58, 213,967.50 and 71,660.65

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Solution

The fourth proportional to 142,821.58, 213,967.50 and 71,660.65 is: 107,358.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,821.58 : 213,967.50 = 71,660.65 : x
  2. Step 2: Convert to fraction form
    142,821.58/213,967.50 = 71,660.65/x
  3. Step 3: Cross multiply
    142,821.58x = 213,967.50 × 71,660.65
  4. Step 4: Simplify right side
    142,821.58x = 15,333,050,128.88
  5. Step 5: Solve for x
    x = 15,333,050,128.88/142,821.58
  6. Step 6: Final answer
    x = 107,358.08

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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.