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Finding the Fourth Proportional to 92,030.80, 137,851.80 and 76,478.80

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Solution

The fourth proportional to 92,030.80, 137,851.80 and 76,478.80 is: 114,556.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,030.80 : 137,851.80 = 76,478.80 : x
  2. Step 2: Convert to fraction form
    92,030.80/137,851.80 = 76,478.80/x
  3. Step 3: Cross multiply
    92,030.80x = 137,851.80 × 76,478.80
  4. Step 4: Simplify right side
    92,030.80x = 10,542,740,241.84
  5. Step 5: Solve for x
    x = 10,542,740,241.84/92,030.80
  6. Step 6: Final answer
    x = 114,556.65

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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.