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Finding the Fourth Proportional to 142,425.68, 213,667.34 and 63,539.91

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Solution

The fourth proportional to 142,425.68, 213,667.34 and 63,539.91 is: 95,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,425.68 : 213,667.34 = 63,539.91 : x
  2. Step 2: Convert to fraction form
    142,425.68/213,667.34 = 63,539.91/x
  3. Step 3: Cross multiply
    142,425.68x = 213,667.34 × 63,539.91
  4. Step 4: Simplify right side
    142,425.68x = 13,576,403,235.84
  5. Step 5: Solve for x
    x = 13,576,403,235.84/142,425.68
  6. Step 6: Final answer
    x = 95,322.72

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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.