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Finding the Fourth Proportional to 124,157, 186,264.69 and 41,051

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Solution

The fourth proportional to 124,157, 186,264.69 and 41,051 is: 61,586.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,157 : 186,264.69 = 41,051 : x
  2. Step 2: Convert to fraction form
    124,157/186,264.69 = 41,051/x
  3. Step 3: Cross multiply
    124,157x = 186,264.69 × 41,051
  4. Step 4: Simplify right side
    124,157x = 7,646,351,789.19
  5. Step 5: Solve for x
    x = 7,646,351,789.19/124,157
  6. Step 6: Final answer
    x = 61,586.15

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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.