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Finding the Fourth Proportional to 151,802.32, 227,664.42 and 45,158.56

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Solution

The fourth proportional to 151,802.32, 227,664.42 and 45,158.56 is: 67,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,802.32 : 227,664.42 = 45,158.56 : x
  2. Step 2: Convert to fraction form
    151,802.32/227,664.42 = 45,158.56/x
  3. Step 3: Cross multiply
    151,802.32x = 227,664.42 × 45,158.56
  4. Step 4: Simplify right side
    151,802.32x = 10,280,997,370.44
  5. Step 5: Solve for x
    x = 10,280,997,370.44/151,802.32
  6. Step 6: Final answer
    x = 67,726.22

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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.