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Finding the Fourth Proportional to 144,416.75, 216,630.07 and 49,646.13

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Solution

The fourth proportional to 144,416.75, 216,630.07 and 49,646.13 is: 74,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,416.75 : 216,630.07 = 49,646.13 : x
  2. Step 2: Convert to fraction form
    144,416.75/216,630.07 = 49,646.13/x
  3. Step 3: Cross multiply
    144,416.75x = 216,630.07 × 49,646.13
  4. Step 4: Simplify right side
    144,416.75x = 10,754,843,866.82
  5. Step 5: Solve for x
    x = 10,754,843,866.82/144,416.75
  6. Step 6: Final answer
    x = 74,470.89

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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.