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Finding the Fourth Proportional to 91,365.20, 137,047.80 and 75,813.20

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Solution

The fourth proportional to 91,365.20, 137,047.80 and 75,813.20 is: 113,719.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,365.20 : 137,047.80 = 75,813.20 : x
  2. Step 2: Convert to fraction form
    91,365.20/137,047.80 = 75,813.20/x
  3. Step 3: Cross multiply
    91,365.20x = 137,047.80 × 75,813.20
  4. Step 4: Simplify right side
    91,365.20x = 10,390,032,270.96
  5. Step 5: Solve for x
    x = 10,390,032,270.96/91,365.20
  6. Step 6: Final answer
    x = 113,719.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.