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Finding the Fourth Proportional to 219,264.26, 328,869.05 and 61,505.01

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Solution

The fourth proportional to 219,264.26, 328,869.05 and 61,505.01 is: 92,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,264.26 : 328,869.05 = 61,505.01 : x
  2. Step 2: Convert to fraction form
    219,264.26/328,869.05 = 61,505.01/x
  3. Step 3: Cross multiply
    219,264.26x = 328,869.05 × 61,505.01
  4. Step 4: Simplify right side
    219,264.26x = 20,227,093,901.42
  5. Step 5: Solve for x
    x = 20,227,093,901.42/219,264.26
  6. Step 6: Final answer
    x = 92,249.85

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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.