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Finding the Fourth Proportional to 219,034.26, 328,501.85 and 100,591.74

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Solution

The fourth proportional to 219,034.26, 328,501.85 and 100,591.74 is: 150,864.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,034.26 : 328,501.85 = 100,591.74 : x
  2. Step 2: Convert to fraction form
    219,034.26/328,501.85 = 100,591.74/x
  3. Step 3: Cross multiply
    219,034.26x = 328,501.85 × 100,591.74
  4. Step 4: Simplify right side
    219,034.26x = 33,044,572,181.76
  5. Step 5: Solve for x
    x = 33,044,572,181.76/219,034.26
  6. Step 6: Final answer
    x = 150,864.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.