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Finding the Fourth Proportional to 127,294.16, 175,669.80 and 76,964.24

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Solution

The fourth proportional to 127,294.16, 175,669.80 and 76,964.24 is: 106,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,294.16 : 175,669.80 = 76,964.24 : x
  2. Step 2: Convert to fraction form
    127,294.16/175,669.80 = 76,964.24/x
  3. Step 3: Cross multiply
    127,294.16x = 175,669.80 × 76,964.24
  4. Step 4: Simplify right side
    127,294.16x = 13,520,292,647.95
  5. Step 5: Solve for x
    x = 13,520,292,647.95/127,294.16
  6. Step 6: Final answer
    x = 106,212.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.