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Finding the Fourth Proportional to 216,097.20, 323,870.40 and 121,327.20

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Solution

The fourth proportional to 216,097.20, 323,870.40 and 121,327.20 is: 181,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,097.20 : 323,870.40 = 121,327.20 : x
  2. Step 2: Convert to fraction form
    216,097.20/323,870.40 = 121,327.20/x
  3. Step 3: Cross multiply
    216,097.20x = 323,870.40 × 121,327.20
  4. Step 4: Simplify right side
    216,097.20x = 39,294,288,794.88
  5. Step 5: Solve for x
    x = 39,294,288,794.88/216,097.20
  6. Step 6: Final answer
    x = 181,836.18

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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.