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Finding the Fourth Proportional to 124,266, 186,400.44 and 30,772.56

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Solution

The fourth proportional to 124,266, 186,400.44 and 30,772.56 is: 46,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,266 : 186,400.44 = 30,772.56 : x
  2. Step 2: Convert to fraction form
    124,266/186,400.44 = 30,772.56/x
  3. Step 3: Cross multiply
    124,266x = 186,400.44 × 30,772.56
  4. Step 4: Simplify right side
    124,266x = 5,736,018,723.93
  5. Step 5: Solve for x
    x = 5,736,018,723.93/124,266
  6. Step 6: Final answer
    x = 46,159.20

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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.