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Finding the Fourth Proportional to 270,614.64, 373,411.80 and 157,350

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Solution

The fourth proportional to 270,614.64, 373,411.80 and 157,350 is: 217,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,614.64 : 373,411.80 = 157,350 : x
  2. Step 2: Convert to fraction form
    270,614.64/373,411.80 = 157,350/x
  3. Step 3: Cross multiply
    270,614.64x = 373,411.80 × 157,350
  4. Step 4: Simplify right side
    270,614.64x = 58,756,346,730
  5. Step 5: Solve for x
    x = 58,756,346,730/270,614.64
  6. Step 6: Final answer
    x = 217,121.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.