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Finding the Fourth Proportional to 142,269.32, 213,358.62 and 58,029.32

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Solution

The fourth proportional to 142,269.32, 213,358.62 and 58,029.32 is: 87,025.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,269.32 : 213,358.62 = 58,029.32 : x
  2. Step 2: Convert to fraction form
    142,269.32/213,358.62 = 58,029.32/x
  3. Step 3: Cross multiply
    142,269.32x = 213,358.62 × 58,029.32
  4. Step 4: Simplify right side
    142,269.32x = 12,381,055,634.74
  5. Step 5: Solve for x
    x = 12,381,055,634.74/142,269.32
  6. Step 6: Final answer
    x = 87,025.48

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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.