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Finding the Fourth Proportional to 126,471.87, 174,567.57 and 83,482.74

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Solution

The fourth proportional to 126,471.87, 174,567.57 and 83,482.74 is: 115,230.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,471.87 : 174,567.57 = 83,482.74 : x
  2. Step 2: Convert to fraction form
    126,471.87/174,567.57 = 83,482.74/x
  3. Step 3: Cross multiply
    126,471.87x = 174,567.57 × 83,482.74
  4. Step 4: Simplify right side
    126,471.87x = 14,573,379,058.74
  5. Step 5: Solve for x
    x = 14,573,379,058.74/126,471.87
  6. Step 6: Final answer
    x = 115,230.20

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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.