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Finding the Fourth Proportional to 126,537.39, 174,656.25 and 78,762.78

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Solution

The fourth proportional to 126,537.39, 174,656.25 and 78,762.78 is: 108,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,537.39 : 174,656.25 = 78,762.78 : x
  2. Step 2: Convert to fraction form
    126,537.39/174,656.25 = 78,762.78/x
  3. Step 3: Cross multiply
    126,537.39x = 174,656.25 × 78,762.78
  4. Step 4: Simplify right side
    126,537.39x = 13,756,411,794.38
  5. Step 5: Solve for x
    x = 13,756,411,794.38/126,537.39
  6. Step 6: Final answer
    x = 108,714.21

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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.