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Finding the Fourth Proportional to 254,966.65, 382,473.96 and 75,052.20

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Solution

The fourth proportional to 254,966.65, 382,473.96 and 75,052.20 is: 112,585.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,966.65 : 382,473.96 = 75,052.20 : x
  2. Step 2: Convert to fraction form
    254,966.65/382,473.96 = 75,052.20/x
  3. Step 3: Cross multiply
    254,966.65x = 382,473.96 × 75,052.20
  4. Step 4: Simplify right side
    254,966.65x = 28,705,510,228.34
  5. Step 5: Solve for x
    x = 28,705,510,228.34/254,966.65
  6. Step 6: Final answer
    x = 112,585.35

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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.