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Finding the Fourth Proportional to 159,011.74, 238,560.63 and 53,830.72

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Solution

The fourth proportional to 159,011.74, 238,560.63 and 53,830.72 is: 80,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,011.74 : 238,560.63 = 53,830.72 : x
  2. Step 2: Convert to fraction form
    159,011.74/238,560.63 = 53,830.72/x
  3. Step 3: Cross multiply
    159,011.74x = 238,560.63 × 53,830.72
  4. Step 4: Simplify right side
    159,011.74x = 12,841,890,476.55
  5. Step 5: Solve for x
    x = 12,841,890,476.55/159,011.74
  6. Step 6: Final answer
    x = 80,760.64

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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.