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Finding the Fourth Proportional to 159,748.29, 220,354.95 and 102,368.29

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Solution

The fourth proportional to 159,748.29, 220,354.95 and 102,368.29 is: 141,205.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,748.29 : 220,354.95 = 102,368.29 : x
  2. Step 2: Convert to fraction form
    159,748.29/220,354.95 = 102,368.29/x
  3. Step 3: Cross multiply
    159,748.29x = 220,354.95 × 102,368.29
  4. Step 4: Simplify right side
    159,748.29x = 22,557,359,424.54
  5. Step 5: Solve for x
    x = 22,557,359,424.54/159,748.29
  6. Step 6: Final answer
    x = 141,205.64

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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.