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Finding the Fourth Proportional to 284,726.56, 426,945.60 and 95,119.36

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Solution

The fourth proportional to 284,726.56, 426,945.60 and 95,119.36 is: 142,630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,726.56 : 426,945.60 = 95,119.36 : x
  2. Step 2: Convert to fraction form
    284,726.56/426,945.60 = 95,119.36/x
  3. Step 3: Cross multiply
    284,726.56x = 426,945.60 × 95,119.36
  4. Step 4: Simplify right side
    284,726.56x = 40,610,792,226.82
  5. Step 5: Solve for x
    x = 40,610,792,226.82/284,726.56
  6. Step 6: Final answer
    x = 142,630.85

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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.