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Finding the Fourth Proportional to 144,359.76, 216,564.36 and 49,585.44

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Solution

The fourth proportional to 144,359.76, 216,564.36 and 49,585.44 is: 74,386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,359.76 : 216,564.36 = 49,585.44 : x
  2. Step 2: Convert to fraction form
    144,359.76/216,564.36 = 49,585.44/x
  3. Step 3: Cross multiply
    144,359.76x = 216,564.36 × 49,585.44
  4. Step 4: Simplify right side
    144,359.76x = 10,738,439,078.92
  5. Step 5: Solve for x
    x = 10,738,439,078.92/144,359.76
  6. Step 6: Final answer
    x = 74,386.65

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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.