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Finding the Fourth Proportional to 219,271.70, 328,810.35 and 100,882.10

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Solution

The fourth proportional to 219,271.70, 328,810.35 and 100,882.10 is: 151,278.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,271.70 : 328,810.35 = 100,882.10 : x
  2. Step 2: Convert to fraction form
    219,271.70/328,810.35 = 100,882.10/x
  3. Step 3: Cross multiply
    219,271.70x = 328,810.35 × 100,882.10
  4. Step 4: Simplify right side
    219,271.70x = 33,171,078,609.74
  5. Step 5: Solve for x
    x = 33,171,078,609.74/219,271.70
  6. Step 6: Final answer
    x = 151,278.43

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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.