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Finding the Fourth Proportional to 174,102.80, 261,154.29 and 114,924.64

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Solution

The fourth proportional to 174,102.80, 261,154.29 and 114,924.64 is: 172,387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,102.80 : 261,154.29 = 114,924.64 : x
  2. Step 2: Convert to fraction form
    174,102.80/261,154.29 = 114,924.64/x
  3. Step 3: Cross multiply
    174,102.80x = 261,154.29 × 114,924.64
  4. Step 4: Simplify right side
    174,102.80x = 30,013,062,060.77
  5. Step 5: Solve for x
    x = 30,013,062,060.77/174,102.80
  6. Step 6: Final answer
    x = 172,387.01

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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.