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Finding the Fourth Proportional to 144,364.59, 216,491.40 and 49,577.04

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Solution

The fourth proportional to 144,364.59, 216,491.40 and 49,577.04 is: 74,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,364.59 : 216,491.40 = 49,577.04 : x
  2. Step 2: Convert to fraction form
    144,364.59/216,491.40 = 49,577.04/x
  3. Step 3: Cross multiply
    144,364.59x = 216,491.40 × 49,577.04
  4. Step 4: Simplify right side
    144,364.59x = 10,733,002,797.46
  5. Step 5: Solve for x
    x = 10,733,002,797.46/144,364.59
  6. Step 6: Final answer
    x = 74,346.51

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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.