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Finding the Fourth Proportional to 159,702.54, 239,712.26 and 84,823.30

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Solution

The fourth proportional to 159,702.54, 239,712.26 and 84,823.30 is: 127,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,702.54 : 239,712.26 = 84,823.30 : x
  2. Step 2: Convert to fraction form
    159,702.54/239,712.26 = 84,823.30/x
  3. Step 3: Cross multiply
    159,702.54x = 239,712.26 × 84,823.30
  4. Step 4: Simplify right side
    159,702.54x = 20,333,184,943.66
  5. Step 5: Solve for x
    x = 20,333,184,943.66/159,702.54
  6. Step 6: Final answer
    x = 127,319.11

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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.