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Finding the Fourth Proportional to 219,323.10, 328,984.65 and 86,207.70

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Solution

The fourth proportional to 219,323.10, 328,984.65 and 86,207.70 is: 129,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,323.10 : 328,984.65 = 86,207.70 : x
  2. Step 2: Convert to fraction form
    219,323.10/328,984.65 = 86,207.70/x
  3. Step 3: Cross multiply
    219,323.10x = 328,984.65 × 86,207.70
  4. Step 4: Simplify right side
    219,323.10x = 28,361,010,011.81
  5. Step 5: Solve for x
    x = 28,361,010,011.81/219,323.10
  6. Step 6: Final answer
    x = 129,311.55

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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.