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Finding the Fourth Proportional to 157,411.59, 217,311.06 and 126,449.16

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Solution

The fourth proportional to 157,411.59, 217,311.06 and 126,449.16 is: 174,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,411.59 : 217,311.06 = 126,449.16 : x
  2. Step 2: Convert to fraction form
    157,411.59/217,311.06 = 126,449.16/x
  3. Step 3: Cross multiply
    157,411.59x = 217,311.06 × 126,449.16
  4. Step 4: Simplify right side
    157,411.59x = 27,478,800,995.71
  5. Step 5: Solve for x
    x = 27,478,800,995.71/157,411.59
  6. Step 6: Final answer
    x = 174,566.57

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1.5x scale

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.