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Finding the Fourth Proportional to 144,269.92, 216,384.63 and 49,498.54

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Solution

The fourth proportional to 144,269.92, 216,384.63 and 49,498.54 is: 74,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,269.92 : 216,384.63 = 49,498.54 : x
  2. Step 2: Convert to fraction form
    144,269.92/216,384.63 = 49,498.54/x
  3. Step 3: Cross multiply
    144,269.92x = 216,384.63 × 49,498.54
  4. Step 4: Simplify right side
    144,269.92x = 10,710,723,263.44
  5. Step 5: Solve for x
    x = 10,710,723,263.44/144,269.92
  6. Step 6: Final answer
    x = 74,240.86

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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.