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Finding the Fourth Proportional to 233,393.10, 350,108.06 and 114,999.90

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Solution

The fourth proportional to 233,393.10, 350,108.06 and 114,999.90 is: 172,508.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,393.10 : 350,108.06 = 114,999.90 : x
  2. Step 2: Convert to fraction form
    233,393.10/350,108.06 = 114,999.90/x
  3. Step 3: Cross multiply
    233,393.10x = 350,108.06 × 114,999.90
  4. Step 4: Simplify right side
    233,393.10x = 40,262,391,314.19
  5. Step 5: Solve for x
    x = 40,262,391,314.19/233,393.10
  6. Step 6: Final answer
    x = 172,508.92

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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.