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Finding the Fourth Proportional to 183,393.12, 253,082.42 and 102,820.38

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Solution

The fourth proportional to 183,393.12, 253,082.42 and 102,820.38 is: 141,892.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,393.12 : 253,082.42 = 102,820.38 : x
  2. Step 2: Convert to fraction form
    183,393.12/253,082.42 = 102,820.38/x
  3. Step 3: Cross multiply
    183,393.12x = 253,082.42 × 102,820.38
  4. Step 4: Simplify right side
    183,393.12x = 26,022,030,595.72
  5. Step 5: Solve for x
    x = 26,022,030,595.72/183,393.12
  6. Step 6: Final answer
    x = 141,892.08

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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.