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Finding the Fourth Proportional to 107,699.40, 161,702.70 and 81,587.40

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Solution

The fourth proportional to 107,699.40, 161,702.70 and 81,587.40 is: 122,497.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,699.40 : 161,702.70 = 81,587.40 : x
  2. Step 2: Convert to fraction form
    107,699.40/161,702.70 = 81,587.40/x
  3. Step 3: Cross multiply
    107,699.40x = 161,702.70 × 81,587.40
  4. Step 4: Simplify right side
    107,699.40x = 13,192,902,865.98
  5. Step 5: Solve for x
    x = 13,192,902,865.98/107,699.40
  6. Step 6: Final answer
    x = 122,497.46

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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.