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Finding the Fourth Proportional to 174,159.97, 260,987.82 and 120,069.14

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Solution

The fourth proportional to 174,159.97, 260,987.82 and 120,069.14 is: 179,929.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,159.97 : 260,987.82 = 120,069.14 : x
  2. Step 2: Convert to fraction form
    174,159.97/260,987.82 = 120,069.14/x
  3. Step 3: Cross multiply
    174,159.97x = 260,987.82 × 120,069.14
  4. Step 4: Simplify right side
    174,159.97x = 31,336,582,018.07
  5. Step 5: Solve for x
    x = 31,336,582,018.07/174,159.97
  6. Step 6: Final answer
    x = 179,929.87

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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.