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Finding the Fourth Proportional to 381,826.56, 572,695.36 and 101,365.60

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Solution

The fourth proportional to 381,826.56, 572,695.36 and 101,365.60 is: 152,036.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,826.56 : 572,695.36 = 101,365.60 : x
  2. Step 2: Convert to fraction form
    381,826.56/572,695.36 = 101,365.60/x
  3. Step 3: Cross multiply
    381,826.56x = 572,695.36 × 101,365.60
  4. Step 4: Simplify right side
    381,826.56x = 58,051,608,783.62
  5. Step 5: Solve for x
    x = 58,051,608,783.62/381,826.56
  6. Step 6: Final answer
    x = 152,036.59

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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.