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Finding the Fourth Proportional to 201,502.29, 278,073.14 and 110,856.30

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Solution

The fourth proportional to 201,502.29, 278,073.14 and 110,856.30 is: 152,981.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,502.29 : 278,073.14 = 110,856.30 : x
  2. Step 2: Convert to fraction form
    201,502.29/278,073.14 = 110,856.30/x
  3. Step 3: Cross multiply
    201,502.29x = 278,073.14 × 110,856.30
  4. Step 4: Simplify right side
    201,502.29x = 30,826,159,429.78
  5. Step 5: Solve for x
    x = 30,826,159,429.78/201,502.29
  6. Step 6: Final answer
    x = 152,981.68

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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.