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Finding the Fourth Proportional to 126,580.50, 174,702.96 and 76,279.50

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Solution

The fourth proportional to 126,580.50, 174,702.96 and 76,279.50 is: 105,278.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,580.50 : 174,702.96 = 76,279.50 : x
  2. Step 2: Convert to fraction form
    126,580.50/174,702.96 = 76,279.50/x
  3. Step 3: Cross multiply
    126,580.50x = 174,702.96 × 76,279.50
  4. Step 4: Simplify right side
    126,580.50x = 13,326,254,437.32
  5. Step 5: Solve for x
    x = 13,326,254,437.32/126,580.50
  6. Step 6: Final answer
    x = 105,278.89

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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.