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Finding the Fourth Proportional to 273,613.68, 410,463.72 and 105,127.28

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Solution

The fourth proportional to 273,613.68, 410,463.72 and 105,127.28 is: 157,707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,613.68 : 410,463.72 = 105,127.28 : x
  2. Step 2: Convert to fraction form
    273,613.68/410,463.72 = 105,127.28/x
  3. Step 3: Cross multiply
    273,613.68x = 410,463.72 × 105,127.28
  4. Step 4: Simplify right side
    273,613.68x = 43,150,934,422.28
  5. Step 5: Solve for x
    x = 43,150,934,422.28/273,613.68
  6. Step 6: Final answer
    x = 157,707.52

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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.