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Finding the Fourth Proportional to 187,154.76, 280,466.76 and 144,837.86

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Solution

The fourth proportional to 187,154.76, 280,466.76 and 144,837.86 is: 217,051.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,154.76 : 280,466.76 = 144,837.86 : x
  2. Step 2: Convert to fraction form
    187,154.76/280,466.76 = 144,837.86/x
  3. Step 3: Cross multiply
    187,154.76x = 280,466.76 × 144,837.86
  4. Step 4: Simplify right side
    187,154.76x = 40,622,203,917.20
  5. Step 5: Solve for x
    x = 40,622,203,917.20/187,154.76
  6. Step 6: Final answer
    x = 217,051.41

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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.