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Finding the Fourth Proportional to 204,473.60, 306,710.40 and 115,900.10

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Solution

The fourth proportional to 204,473.60, 306,710.40 and 115,900.10 is: 173,850.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,473.60 : 306,710.40 = 115,900.10 : x
  2. Step 2: Convert to fraction form
    204,473.60/306,710.40 = 115,900.10/x
  3. Step 3: Cross multiply
    204,473.60x = 306,710.40 × 115,900.10
  4. Step 4: Simplify right side
    204,473.60x = 35,547,766,031.04
  5. Step 5: Solve for x
    x = 35,547,766,031.04/204,473.60
  6. Step 6: Final answer
    x = 173,850.15

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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.