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Finding the Fourth Proportional to 277,641.59, 416,462.43 and 100,148.58

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Solution

The fourth proportional to 277,641.59, 416,462.43 and 100,148.58 is: 150,222.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,641.59 : 416,462.43 = 100,148.58 : x
  2. Step 2: Convert to fraction form
    277,641.59/416,462.43 = 100,148.58/x
  3. Step 3: Cross multiply
    277,641.59x = 416,462.43 × 100,148.58
  4. Step 4: Simplify right side
    277,641.59x = 41,708,121,363.41
  5. Step 5: Solve for x
    x = 41,708,121,363.41/277,641.59
  6. Step 6: Final answer
    x = 150,222.89

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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.