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Finding the Fourth Proportional to 144,425.16, 216,673.20 and 49,656.78

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Solution

The fourth proportional to 144,425.16, 216,673.20 and 49,656.78 is: 74,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,425.16 : 216,673.20 = 49,656.78 : x
  2. Step 2: Convert to fraction form
    144,425.16/216,673.20 = 49,656.78/x
  3. Step 3: Cross multiply
    144,425.16x = 216,673.20 × 49,656.78
  4. Step 4: Simplify right side
    144,425.16x = 10,759,293,424.30
  5. Step 5: Solve for x
    x = 10,759,293,424.30/144,425.16
  6. Step 6: Final answer
    x = 74,497.36

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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.