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Finding the Fourth Proportional to 99,909.70, 149,864.55 and 96,021.70

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Solution

The fourth proportional to 99,909.70, 149,864.55 and 96,021.70 is: 144,032.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,909.70 : 149,864.55 = 96,021.70 : x
  2. Step 2: Convert to fraction form
    99,909.70/149,864.55 = 96,021.70/x
  3. Step 3: Cross multiply
    99,909.70x = 149,864.55 × 96,021.70
  4. Step 4: Simplify right side
    99,909.70x = 14,390,248,860.74
  5. Step 5: Solve for x
    x = 14,390,248,860.74/99,909.70
  6. Step 6: Final answer
    x = 144,032.55

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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.