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Finding the Fourth Proportional to 230,842.60, 346,263.90 and 205,959.40

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Solution

The fourth proportional to 230,842.60, 346,263.90 and 205,959.40 is: 308,939.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,842.60 : 346,263.90 = 205,959.40 : x
  2. Step 2: Convert to fraction form
    230,842.60/346,263.90 = 205,959.40/x
  3. Step 3: Cross multiply
    230,842.60x = 346,263.90 × 205,959.40
  4. Step 4: Simplify right side
    230,842.60x = 71,316,305,085.66
  5. Step 5: Solve for x
    x = 71,316,305,085.66/230,842.60
  6. Step 6: Final answer
    x = 308,939.10

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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.