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Finding the Fourth Proportional to 205,902, 283,950.36 and 134,336.88

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Solution

The fourth proportional to 205,902, 283,950.36 and 134,336.88 is: 185,258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,902 : 283,950.36 = 134,336.88 : x
  2. Step 2: Convert to fraction form
    205,902/283,950.36 = 134,336.88/x
  3. Step 3: Cross multiply
    205,902x = 283,950.36 × 134,336.88
  4. Step 4: Simplify right side
    205,902x = 38,145,005,437.28
  5. Step 5: Solve for x
    x = 38,145,005,437.28/205,902
  6. Step 6: Final answer
    x = 185,258.06

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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.