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Finding the Fourth Proportional to 144,700.74, 216,788.67 and 106,843.77

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Solution

The fourth proportional to 144,700.74, 216,788.67 and 106,843.77 is: 160,071.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,700.74 : 216,788.67 = 106,843.77 : x
  2. Step 2: Convert to fraction form
    144,700.74/216,788.67 = 106,843.77/x
  3. Step 3: Cross multiply
    144,700.74x = 216,788.67 × 106,843.77
  4. Step 4: Simplify right side
    144,700.74x = 23,162,518,796.09
  5. Step 5: Solve for x
    x = 23,162,518,796.09/144,700.74
  6. Step 6: Final answer
    x = 160,071.88

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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.