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Finding the Fourth Proportional to 102,030.09, 140,870.13 and 91,241.40

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Solution

The fourth proportional to 102,030.09, 140,870.13 and 91,241.40 is: 125,974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,030.09 : 140,870.13 = 91,241.40 : x
  2. Step 2: Convert to fraction form
    102,030.09/140,870.13 = 91,241.40/x
  3. Step 3: Cross multiply
    102,030.09x = 140,870.13 × 91,241.40
  4. Step 4: Simplify right side
    102,030.09x = 12,853,187,879.38
  5. Step 5: Solve for x
    x = 12,853,187,879.38/102,030.09
  6. Step 6: Final answer
    x = 125,974.48

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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.