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Finding the Fourth Proportional to 276,470.90, 414,706.35 and 136,502.90

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Solution

The fourth proportional to 276,470.90, 414,706.35 and 136,502.90 is: 204,754.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,470.90 : 414,706.35 = 136,502.90 : x
  2. Step 2: Convert to fraction form
    276,470.90/414,706.35 = 136,502.90/x
  3. Step 3: Cross multiply
    276,470.90x = 414,706.35 × 136,502.90
  4. Step 4: Simplify right side
    276,470.90x = 56,608,619,423.42
  5. Step 5: Solve for x
    x = 56,608,619,423.42/276,470.90
  6. Step 6: Final answer
    x = 204,754.35

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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.