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Finding the Fourth Proportional to 99,825.10, 149,737.65 and 40,703.20

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Solution

The fourth proportional to 99,825.10, 149,737.65 and 40,703.20 is: 61,054.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,825.10 : 149,737.65 = 40,703.20 : x
  2. Step 2: Convert to fraction form
    99,825.10/149,737.65 = 40,703.20/x
  3. Step 3: Cross multiply
    99,825.10x = 149,737.65 × 40,703.20
  4. Step 4: Simplify right side
    99,825.10x = 6,094,801,515.48
  5. Step 5: Solve for x
    x = 6,094,801,515.48/99,825.10
  6. Step 6: Final answer
    x = 61,054.80

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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.