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Finding the Fourth Proportional to 159,312.30, 238,960.55 and 59,464.82

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Solution

The fourth proportional to 159,312.30, 238,960.55 and 59,464.82 is: 89,194.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,312.30 : 238,960.55 = 59,464.82 : x
  2. Step 2: Convert to fraction form
    159,312.30/238,960.55 = 59,464.82/x
  3. Step 3: Cross multiply
    159,312.30x = 238,960.55 × 59,464.82
  4. Step 4: Simplify right side
    159,312.30x = 14,209,744,600.72
  5. Step 5: Solve for x
    x = 14,209,744,600.72/159,312.30
  6. Step 6: Final answer
    x = 89,194.27

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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.