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Finding the Fourth Proportional to 213,335.82, 319,748.58 and 94,873.32

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Solution

The fourth proportional to 213,335.82, 319,748.58 and 94,873.32 is: 142,196.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,335.82 : 319,748.58 = 94,873.32 : x
  2. Step 2: Convert to fraction form
    213,335.82/319,748.58 = 94,873.32/x
  3. Step 3: Cross multiply
    213,335.82x = 319,748.58 × 94,873.32
  4. Step 4: Simplify right side
    213,335.82x = 30,335,609,349.89
  5. Step 5: Solve for x
    x = 30,335,609,349.89/213,335.82
  6. Step 6: Final answer
    x = 142,196.51

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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.