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Finding the Fourth Proportional to 126,095.38, 174,009.12 and 69,506.78

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Solution

The fourth proportional to 126,095.38, 174,009.12 and 69,506.78 is: 95,917.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,095.38 : 174,009.12 = 69,506.78 : x
  2. Step 2: Convert to fraction form
    126,095.38/174,009.12 = 69,506.78/x
  3. Step 3: Cross multiply
    126,095.38x = 174,009.12 × 69,506.78
  4. Step 4: Simplify right side
    126,095.38x = 12,094,813,621.83
  5. Step 5: Solve for x
    x = 12,094,813,621.83/126,095.38
  6. Step 6: Final answer
    x = 95,917.98

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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.