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Finding the Fourth Proportional to 233,999.10, 350,998.65 and 134,466.30

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Solution

The fourth proportional to 233,999.10, 350,998.65 and 134,466.30 is: 201,699.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,999.10 : 350,998.65 = 134,466.30 : x
  2. Step 2: Convert to fraction form
    233,999.10/350,998.65 = 134,466.30/x
  3. Step 3: Cross multiply
    233,999.10x = 350,998.65 × 134,466.30
  4. Step 4: Simplify right side
    233,999.10x = 47,197,489,770.50
  5. Step 5: Solve for x
    x = 47,197,489,770.50/233,999.10
  6. Step 6: Final answer
    x = 201,699.45

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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.