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Finding the Fourth Proportional to 427,159.60, 640,672.14 and 142,847.96

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Solution

The fourth proportional to 427,159.60, 640,672.14 and 142,847.96 is: 214,249.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,159.60 : 640,672.14 = 142,847.96 : x
  2. Step 2: Convert to fraction form
    427,159.60/640,672.14 = 142,847.96/x
  3. Step 3: Cross multiply
    427,159.60x = 640,672.14 × 142,847.96
  4. Step 4: Simplify right side
    427,159.60x = 91,518,708,227.83
  5. Step 5: Solve for x
    x = 91,518,708,227.83/427,159.60
  6. Step 6: Final answer
    x = 214,249.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.