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Finding the Fourth Proportional to 123,767.10, 185,322.60 and 97,523.10

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Solution

The fourth proportional to 123,767.10, 185,322.60 and 97,523.10 is: 146,026.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,767.10 : 185,322.60 = 97,523.10 : x
  2. Step 2: Convert to fraction form
    123,767.10/185,322.60 = 97,523.10/x
  3. Step 3: Cross multiply
    123,767.10x = 185,322.60 × 97,523.10
  4. Step 4: Simplify right side
    123,767.10x = 18,073,234,452.06
  5. Step 5: Solve for x
    x = 18,073,234,452.06/123,767.10
  6. Step 6: Final answer
    x = 146,026.16

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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.