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Finding the Fourth Proportional to 350,034.10, 525,051.15 and 200,734.90

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Solution

The fourth proportional to 350,034.10, 525,051.15 and 200,734.90 is: 301,102.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,034.10 : 525,051.15 = 200,734.90 : x
  2. Step 2: Convert to fraction form
    350,034.10/525,051.15 = 200,734.90/x
  3. Step 3: Cross multiply
    350,034.10x = 525,051.15 × 200,734.90
  4. Step 4: Simplify right side
    350,034.10x = 105,396,090,090.14
  5. Step 5: Solve for x
    x = 105,396,090,090.14/350,034.10
  6. Step 6: Final answer
    x = 301,102.35

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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.