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Finding the Fourth Proportional to 248,641.11, 343,165.86 and 146,691.50

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Solution

The fourth proportional to 248,641.11, 343,165.86 and 146,691.50 is: 202,458.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,641.11 : 343,165.86 = 146,691.50 : x
  2. Step 2: Convert to fraction form
    248,641.11/343,165.86 = 146,691.50/x
  3. Step 3: Cross multiply
    248,641.11x = 343,165.86 × 146,691.50
  4. Step 4: Simplify right side
    248,641.11x = 50,339,513,036.36
  5. Step 5: Solve for x
    x = 50,339,513,036.36/248,641.11
  6. Step 6: Final answer
    x = 202,458.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.