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Finding the Fourth Proportional to 217,856.30, 325,909.65 and 188,599.10

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Solution

The fourth proportional to 217,856.30, 325,909.65 and 188,599.10 is: 282,141.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,856.30 : 325,909.65 = 188,599.10 : x
  2. Step 2: Convert to fraction form
    217,856.30/325,909.65 = 188,599.10/x
  3. Step 3: Cross multiply
    217,856.30x = 325,909.65 × 188,599.10
  4. Step 4: Simplify right side
    217,856.30x = 61,466,266,671.32
  5. Step 5: Solve for x
    x = 61,466,266,671.32/217,856.30
  6. Step 6: Final answer
    x = 282,141.33

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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.