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Finding the Fourth Proportional to 280,952.28, 421,428.84 and 114,740.28

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Solution

The fourth proportional to 280,952.28, 421,428.84 and 114,740.28 is: 172,110.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,952.28 : 421,428.84 = 114,740.28 : x
  2. Step 2: Convert to fraction form
    280,952.28/421,428.84 = 114,740.28/x
  3. Step 3: Cross multiply
    280,952.28x = 421,428.84 × 114,740.28
  4. Step 4: Simplify right side
    280,952.28x = 48,354,863,101.68
  5. Step 5: Solve for x
    x = 48,354,863,101.68/280,952.28
  6. Step 6: Final answer
    x = 172,110.59

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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.