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Finding the Fourth Proportional to 126,322.59, 174,354.48 and 83,309.85

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Solution

The fourth proportional to 126,322.59, 174,354.48 and 83,309.85 is: 114,986.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,322.59 : 174,354.48 = 83,309.85 : x
  2. Step 2: Convert to fraction form
    126,322.59/174,354.48 = 83,309.85/x
  3. Step 3: Cross multiply
    126,322.59x = 174,354.48 × 83,309.85
  4. Step 4: Simplify right side
    126,322.59x = 14,525,445,575.63
  5. Step 5: Solve for x
    x = 14,525,445,575.63/126,322.59
  6. Step 6: Final answer
    x = 114,986.92

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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.