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Finding the Fourth Proportional to 126,830.78, 175,026.10 and 70,242.16

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Solution

The fourth proportional to 126,830.78, 175,026.10 and 70,242.16 is: 96,933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,830.78 : 175,026.10 = 70,242.16 : x
  2. Step 2: Convert to fraction form
    126,830.78/175,026.10 = 70,242.16/x
  3. Step 3: Cross multiply
    126,830.78x = 175,026.10 × 70,242.16
  4. Step 4: Simplify right side
    126,830.78x = 12,294,211,320.38
  5. Step 5: Solve for x
    x = 12,294,211,320.38/126,830.78
  6. Step 6: Final answer
    x = 96,933.97

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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.