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Finding the Fourth Proportional to 92,101.80, 126,985.14 and 77,016.36

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Solution

The fourth proportional to 92,101.80, 126,985.14 and 77,016.36 is: 106,186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,101.80 : 126,985.14 = 77,016.36 : x
  2. Step 2: Convert to fraction form
    92,101.80/126,985.14 = 77,016.36/x
  3. Step 3: Cross multiply
    92,101.80x = 126,985.14 × 77,016.36
  4. Step 4: Simplify right side
    92,101.80x = 9,779,933,256.89
  5. Step 5: Solve for x
    x = 9,779,933,256.89/92,101.80
  6. Step 6: Final answer
    x = 106,186.13

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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.