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Finding the Fourth Proportional to 205,472.72, 283,481.64 and 151,870.16

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Solution

The fourth proportional to 205,472.72, 283,481.64 and 151,870.16 is: 209,528.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,472.72 : 283,481.64 = 151,870.16 : x
  2. Step 2: Convert to fraction form
    205,472.72/283,481.64 = 151,870.16/x
  3. Step 3: Cross multiply
    205,472.72x = 283,481.64 × 151,870.16
  4. Step 4: Simplify right side
    205,472.72x = 43,052,402,023.86
  5. Step 5: Solve for x
    x = 43,052,402,023.86/205,472.72
  6. Step 6: Final answer
    x = 209,528.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.