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Finding the Fourth Proportional to 204,046.60, 306,069.90 and 200,547.40

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Solution

The fourth proportional to 204,046.60, 306,069.90 and 200,547.40 is: 300,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,046.60 : 306,069.90 = 200,547.40 : x
  2. Step 2: Convert to fraction form
    204,046.60/306,069.90 = 200,547.40/x
  3. Step 3: Cross multiply
    204,046.60x = 306,069.90 × 200,547.40
  4. Step 4: Simplify right side
    204,046.60x = 61,381,522,663.26
  5. Step 5: Solve for x
    x = 61,381,522,663.26/204,046.60
  6. Step 6: Final answer
    x = 300,821.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.