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Finding the Fourth Proportional to 144,456.53, 216,714.35 and 49,674.41

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Solution

The fourth proportional to 144,456.53, 216,714.35 and 49,674.41 is: 74,521.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,456.53 : 216,714.35 = 49,674.41 : x
  2. Step 2: Convert to fraction form
    144,456.53/216,714.35 = 49,674.41/x
  3. Step 3: Cross multiply
    144,456.53x = 216,714.35 × 49,674.41
  4. Step 4: Simplify right side
    144,456.53x = 10,765,156,329.12
  5. Step 5: Solve for x
    x = 10,765,156,329.12/144,456.53
  6. Step 6: Final answer
    x = 74,521.77

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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.