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Finding the Fourth Proportional to 147,156.13, 203,082.12 and 86,729.32

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Solution

The fourth proportional to 147,156.13, 203,082.12 and 86,729.32 is: 119,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,156.13 : 203,082.12 = 86,729.32 : x
  2. Step 2: Convert to fraction form
    147,156.13/203,082.12 = 86,729.32/x
  3. Step 3: Cross multiply
    147,156.13x = 203,082.12 × 86,729.32
  4. Step 4: Simplify right side
    147,156.13x = 17,613,173,156.35
  5. Step 5: Solve for x
    x = 17,613,173,156.35/147,156.13
  6. Step 6: Final answer
    x = 119,690.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.