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Finding the Fourth Proportional to 304,144.76, 456,248.36 and 114,764.51

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Solution

The fourth proportional to 304,144.76, 456,248.36 and 114,764.51 is: 172,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,144.76 : 456,248.36 = 114,764.51 : x
  2. Step 2: Convert to fraction form
    304,144.76/456,248.36 = 114,764.51/x
  3. Step 3: Cross multiply
    304,144.76x = 456,248.36 × 114,764.51
  4. Step 4: Simplify right side
    304,144.76x = 52,361,120,901.24
  5. Step 5: Solve for x
    x = 52,361,120,901.24/304,144.76
  6. Step 6: Final answer
    x = 172,158.55

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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.