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Finding the Fourth Proportional to 159,204.34, 238,695.80 and 59,337.72

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Solution

The fourth proportional to 159,204.34, 238,695.80 and 59,337.72 is: 88,965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,204.34 : 238,695.80 = 59,337.72 : x
  2. Step 2: Convert to fraction form
    159,204.34/238,695.80 = 59,337.72/x
  3. Step 3: Cross multiply
    159,204.34x = 238,695.80 × 59,337.72
  4. Step 4: Simplify right side
    159,204.34x = 14,163,664,248.89
  5. Step 5: Solve for x
    x = 14,163,664,248.89/159,204.34
  6. Step 6: Final answer
    x = 88,965.31

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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.