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Finding the Fourth Proportional to 144,701.74, 216,790.17 and 106,844.77

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Solution

The fourth proportional to 144,701.74, 216,790.17 and 106,844.77 is: 160,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,701.74 : 216,790.17 = 106,844.77 : x
  2. Step 2: Convert to fraction form
    144,701.74/216,790.17 = 106,844.77/x
  3. Step 3: Cross multiply
    144,701.74x = 216,790.17 × 106,844.77
  4. Step 4: Simplify right side
    144,701.74x = 23,162,895,851.91
  5. Step 5: Solve for x
    x = 23,162,895,851.91/144,701.74
  6. Step 6: Final answer
    x = 160,073.37

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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.