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Finding the Fourth Proportional to 174,407.38, 240,516.84 and 114,029.78

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Solution

The fourth proportional to 174,407.38, 240,516.84 and 114,029.78 is: 157,252.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,407.38 : 240,516.84 = 114,029.78 : x
  2. Step 2: Convert to fraction form
    174,407.38/240,516.84 = 114,029.78/x
  3. Step 3: Cross multiply
    174,407.38x = 240,516.84 × 114,029.78
  4. Step 4: Simplify right side
    174,407.38x = 27,426,081,576.52
  5. Step 5: Solve for x
    x = 27,426,081,576.52/174,407.38
  6. Step 6: Final answer
    x = 157,252.99

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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.