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Finding the Fourth Proportional to 217,219.40, 325,926.30 and 98,829.80

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Solution

The fourth proportional to 217,219.40, 325,926.30 and 98,829.80 is: 148,288.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,219.40 : 325,926.30 = 98,829.80 : x
  2. Step 2: Convert to fraction form
    217,219.40/325,926.30 = 98,829.80/x
  3. Step 3: Cross multiply
    217,219.40x = 325,926.30 × 98,829.80
  4. Step 4: Simplify right side
    217,219.40x = 32,211,231,043.74
  5. Step 5: Solve for x
    x = 32,211,231,043.74/217,219.40
  6. Step 6: Final answer
    x = 148,288.92

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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.