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Finding the Fourth Proportional to 205,425.98, 283,381.71 and 130,018.22

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Solution

The fourth proportional to 205,425.98, 283,381.71 and 130,018.22 is: 179,357.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,425.98 : 283,381.71 = 130,018.22 : x
  2. Step 2: Convert to fraction form
    205,425.98/283,381.71 = 130,018.22/x
  3. Step 3: Cross multiply
    205,425.98x = 283,381.71 × 130,018.22
  4. Step 4: Simplify right side
    205,425.98x = 36,844,785,514.76
  5. Step 5: Solve for x
    x = 36,844,785,514.76/205,425.98
  6. Step 6: Final answer
    x = 179,357.96

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