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Finding the Fourth Proportional to 202,108.66, 278,929.66 and 151,032.70

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Solution

The fourth proportional to 202,108.66, 278,929.66 and 151,032.70 is: 208,439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,108.66 : 278,929.66 = 151,032.70 : x
  2. Step 2: Convert to fraction form
    202,108.66/278,929.66 = 151,032.70/x
  3. Step 3: Cross multiply
    202,108.66x = 278,929.66 × 151,032.70
  4. Step 4: Simplify right side
    202,108.66x = 42,127,499,659.88
  5. Step 5: Solve for x
    x = 42,127,499,659.88/202,108.66
  6. Step 6: Final answer
    x = 208,439.85

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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.