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Finding the Fourth Proportional to 106,456.90, 159,685.35 and 97,855.30

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Solution

The fourth proportional to 106,456.90, 159,685.35 and 97,855.30 is: 146,782.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,456.90 : 159,685.35 = 97,855.30 : x
  2. Step 2: Convert to fraction form
    106,456.90/159,685.35 = 97,855.30/x
  3. Step 3: Cross multiply
    106,456.90x = 159,685.35 × 97,855.30
  4. Step 4: Simplify right side
    106,456.90x = 15,626,057,829.86
  5. Step 5: Solve for x
    x = 15,626,057,829.86/106,456.90
  6. Step 6: Final answer
    x = 146,782.95

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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.