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Finding the Fourth Proportional to 99,695.70, 149,543.55 and 86,865.30

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Solution

The fourth proportional to 99,695.70, 149,543.55 and 86,865.30 is: 130,297.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,695.70 : 149,543.55 = 86,865.30 : x
  2. Step 2: Convert to fraction form
    99,695.70/149,543.55 = 86,865.30/x
  3. Step 3: Cross multiply
    99,695.70x = 149,543.55 × 86,865.30
  4. Step 4: Simplify right side
    99,695.70x = 12,990,145,333.82
  5. Step 5: Solve for x
    x = 12,990,145,333.82/99,695.70
  6. Step 6: Final answer
    x = 130,297.95

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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.