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Finding the Fourth Proportional to 142,384.80, 213,512.40 and 63,458.40

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Solution

The fourth proportional to 142,384.80, 213,512.40 and 63,458.40 is: 95,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,384.80 : 213,512.40 = 63,458.40 : x
  2. Step 2: Convert to fraction form
    142,384.80/213,512.40 = 63,458.40/x
  3. Step 3: Cross multiply
    142,384.80x = 213,512.40 × 63,458.40
  4. Step 4: Simplify right side
    142,384.80x = 13,549,155,284.16
  5. Step 5: Solve for x
    x = 13,549,155,284.16/142,384.80
  6. Step 6: Final answer
    x = 95,158.72

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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.