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Finding the Fourth Proportional to 144,724.86, 216,713.43 and 99,884.61

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Solution

The fourth proportional to 144,724.86, 216,713.43 and 99,884.61 is: 149,568.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,724.86 : 216,713.43 = 99,884.61 : x
  2. Step 2: Convert to fraction form
    144,724.86/216,713.43 = 99,884.61/x
  3. Step 3: Cross multiply
    144,724.86x = 216,713.43 × 99,884.61
  4. Step 4: Simplify right side
    144,724.86x = 21,646,336,437.31
  5. Step 5: Solve for x
    x = 21,646,336,437.31/144,724.86
  6. Step 6: Final answer
    x = 149,568.89

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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.