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Finding the Fourth Proportional to 144,313, 216,472.74 and 49,543

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Solution

The fourth proportional to 144,313, 216,472.74 and 49,543 is: 74,315.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,313 : 216,472.74 = 49,543 : x
  2. Step 2: Convert to fraction form
    144,313/216,472.74 = 49,543/x
  3. Step 3: Cross multiply
    144,313x = 216,472.74 × 49,543
  4. Step 4: Simplify right side
    144,313x = 10,724,708,957.82
  5. Step 5: Solve for x
    x = 10,724,708,957.82/144,313
  6. Step 6: Final answer
    x = 74,315.61

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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.