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Finding the Fourth Proportional to 316,747.84, 475,072.24 and 103,514.06

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Solution

The fourth proportional to 316,747.84, 475,072.24 and 103,514.06 is: 155,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,747.84 : 475,072.24 = 103,514.06 : x
  2. Step 2: Convert to fraction form
    316,747.84/475,072.24 = 103,514.06/x
  3. Step 3: Cross multiply
    316,747.84x = 475,072.24 × 103,514.06
  4. Step 4: Simplify right side
    316,747.84x = 49,176,656,355.69
  5. Step 5: Solve for x
    x = 49,176,656,355.69/316,747.84
  6. Step 6: Final answer
    x = 155,254.91

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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.