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Finding the Fourth Proportional to 140,031.25, 209,858.55 and 76,756.48

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Solution

The fourth proportional to 140,031.25, 209,858.55 and 76,756.48 is: 115,031.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,031.25 : 209,858.55 = 76,756.48 : x
  2. Step 2: Convert to fraction form
    140,031.25/209,858.55 = 76,756.48/x
  3. Step 3: Cross multiply
    140,031.25x = 209,858.55 × 76,756.48
  4. Step 4: Simplify right side
    140,031.25x = 16,108,002,783.42
  5. Step 5: Solve for x
    x = 16,108,002,783.42/140,031.25
  6. Step 6: Final answer
    x = 115,031.49

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