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Finding the Fourth Proportional to 213,147.84, 319,932.48 and 113,308.32

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Solution

The fourth proportional to 213,147.84, 319,932.48 and 113,308.32 is: 170,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,147.84 : 319,932.48 = 113,308.32 : x
  2. Step 2: Convert to fraction form
    213,147.84/319,932.48 = 113,308.32/x
  3. Step 3: Cross multiply
    213,147.84x = 319,932.48 × 113,308.32
  4. Step 4: Simplify right side
    213,147.84x = 36,251,011,822.23
  5. Step 5: Solve for x
    x = 36,251,011,822.23/213,147.84
  6. Step 6: Final answer
    x = 170,074.50

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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.