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Finding the Fourth Proportional to 151,616.28, 227,344 and 46,407

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Solution

The fourth proportional to 151,616.28, 227,344 and 46,407 is: 69,585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,616.28 : 227,344 = 46,407 : x
  2. Step 2: Convert to fraction form
    151,616.28/227,344 = 46,407/x
  3. Step 3: Cross multiply
    151,616.28x = 227,344 × 46,407
  4. Step 4: Simplify right side
    151,616.28x = 10,550,353,008
  5. Step 5: Solve for x
    x = 10,550,353,008/151,616.28
  6. Step 6: Final answer
    x = 69,585.88

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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.