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Finding the Fourth Proportional to 219,036.45, 328,595.24 and 69,314.43

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Solution

The fourth proportional to 219,036.45, 328,595.24 and 69,314.43 is: 103,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,036.45 : 328,595.24 = 69,314.43 : x
  2. Step 2: Convert to fraction form
    219,036.45/328,595.24 = 69,314.43/x
  3. Step 3: Cross multiply
    219,036.45x = 328,595.24 × 69,314.43
  4. Step 4: Simplify right side
    219,036.45x = 22,776,391,414.74
  5. Step 5: Solve for x
    x = 22,776,391,414.74/219,036.45
  6. Step 6: Final answer
    x = 103,984.48

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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.