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Finding the Fourth Proportional to 144,497.98, 216,690.81 and 49,710.16

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Solution

The fourth proportional to 144,497.98, 216,690.81 and 49,710.16 is: 74,545.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,497.98 : 216,690.81 = 49,710.16 : x
  2. Step 2: Convert to fraction form
    144,497.98/216,690.81 = 49,710.16/x
  3. Step 3: Cross multiply
    144,497.98x = 216,690.81 × 49,710.16
  4. Step 4: Simplify right side
    144,497.98x = 10,771,734,835.63
  5. Step 5: Solve for x
    x = 10,771,734,835.63/144,497.98
  6. Step 6: Final answer
    x = 74,545.92

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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.