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Finding the Fourth Proportional to 218,488.19, 301,476.13 and 200,830.13

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Solution

The fourth proportional to 218,488.19, 301,476.13 and 200,830.13 is: 277,111.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,488.19 : 301,476.13 = 200,830.13 : x
  2. Step 2: Convert to fraction form
    218,488.19/301,476.13 = 200,830.13/x
  3. Step 3: Cross multiply
    218,488.19x = 301,476.13 × 200,830.13
  4. Step 4: Simplify right side
    218,488.19x = 60,545,491,196.68
  5. Step 5: Solve for x
    x = 60,545,491,196.68/218,488.19
  6. Step 6: Final answer
    x = 277,111.05

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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.