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Finding the Fourth Proportional to 219,458.80, 328,991.10 and 86,429.80

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Solution

The fourth proportional to 219,458.80, 328,991.10 and 86,429.80 is: 129,567.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,458.80 : 328,991.10 = 86,429.80 : x
  2. Step 2: Convert to fraction form
    219,458.80/328,991.10 = 86,429.80/x
  3. Step 3: Cross multiply
    219,458.80x = 328,991.10 × 86,429.80
  4. Step 4: Simplify right side
    219,458.80x = 28,434,634,974.78
  5. Step 5: Solve for x
    x = 28,434,634,974.78/219,458.80
  6. Step 6: Final answer
    x = 129,567.08

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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.