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Finding the Fourth Proportional to 213,101.28, 319,715.52 and 63,346.56

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Solution

The fourth proportional to 213,101.28, 319,715.52 and 63,346.56 is: 95,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,101.28 : 319,715.52 = 63,346.56 : x
  2. Step 2: Convert to fraction form
    213,101.28/319,715.52 = 63,346.56/x
  3. Step 3: Cross multiply
    213,101.28x = 319,715.52 × 63,346.56
  4. Step 4: Simplify right side
    213,101.28x = 20,252,878,370.61
  5. Step 5: Solve for x
    x = 20,252,878,370.61/213,101.28
  6. Step 6: Final answer
    x = 95,038.75

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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.