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Finding the Fourth Proportional to 274,851.90, 412,132.05 and 97,364.70

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Solution

The fourth proportional to 274,851.90, 412,132.05 and 97,364.70 is: 145,995.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,851.90 : 412,132.05 = 97,364.70 : x
  2. Step 2: Convert to fraction form
    274,851.90/412,132.05 = 97,364.70/x
  3. Step 3: Cross multiply
    274,851.90x = 412,132.05 × 97,364.70
  4. Step 4: Simplify right side
    274,851.90x = 40,127,113,408.64
  5. Step 5: Solve for x
    x = 40,127,113,408.64/274,851.90
  6. Step 6: Final answer
    x = 145,995.40

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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.