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Finding the Fourth Proportional to 97,234.30, 145,851.45 and 82,719.10

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Solution

The fourth proportional to 97,234.30, 145,851.45 and 82,719.10 is: 124,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,234.30 : 145,851.45 = 82,719.10 : x
  2. Step 2: Convert to fraction form
    97,234.30/145,851.45 = 82,719.10/x
  3. Step 3: Cross multiply
    97,234.30x = 145,851.45 × 82,719.10
  4. Step 4: Simplify right side
    97,234.30x = 12,064,700,677.70
  5. Step 5: Solve for x
    x = 12,064,700,677.70/97,234.30
  6. Step 6: Final answer
    x = 124,078.65

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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.