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Finding the Fourth Proportional to 142,434.08, 213,585.26 and 52,454.08

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Solution

The fourth proportional to 142,434.08, 213,585.26 and 52,454.08 is: 78,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,434.08 : 213,585.26 = 52,454.08 : x
  2. Step 2: Convert to fraction form
    142,434.08/213,585.26 = 52,454.08/x
  3. Step 3: Cross multiply
    142,434.08x = 213,585.26 × 52,454.08
  4. Step 4: Simplify right side
    142,434.08x = 11,203,417,518.63
  5. Step 5: Solve for x
    x = 11,203,417,518.63/142,434.08
  6. Step 6: Final answer
    x = 78,656.86

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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.