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Finding the Fourth Proportional to 219,034.13, 328,609.51 and 69,277.14

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Solution

The fourth proportional to 219,034.13, 328,609.51 and 69,277.14 is: 103,934.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,034.13 : 328,609.51 = 69,277.14 : x
  2. Step 2: Convert to fraction form
    219,034.13/328,609.51 = 69,277.14/x
  3. Step 3: Cross multiply
    219,034.13x = 328,609.51 × 69,277.14
  4. Step 4: Simplify right side
    219,034.13x = 22,765,126,856.41
  5. Step 5: Solve for x
    x = 22,765,126,856.41/219,034.13
  6. Step 6: Final answer
    x = 103,934.16

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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.