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Finding the Fourth Proportional to 233,407.80, 350,111.70 and 115,309.80

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Solution

The fourth proportional to 233,407.80, 350,111.70 and 115,309.80 is: 172,964.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,407.80 : 350,111.70 = 115,309.80 : x
  2. Step 2: Convert to fraction form
    233,407.80/350,111.70 = 115,309.80/x
  3. Step 3: Cross multiply
    233,407.80x = 350,111.70 × 115,309.80
  4. Step 4: Simplify right side
    233,407.80x = 40,371,310,104.66
  5. Step 5: Solve for x
    x = 40,371,310,104.66/233,407.80
  6. Step 6: Final answer
    x = 172,964.70

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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.