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Finding the Fourth Proportional to 350,098.38, 525,103.74 and 97,397.82

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Solution

The fourth proportional to 350,098.38, 525,103.74 and 97,397.82 is: 146,084.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,098.38 : 525,103.74 = 97,397.82 : x
  2. Step 2: Convert to fraction form
    350,098.38/525,103.74 = 97,397.82/x
  3. Step 3: Cross multiply
    350,098.38x = 525,103.74 × 97,397.82
  4. Step 4: Simplify right side
    350,098.38x = 51,143,959,549.85
  5. Step 5: Solve for x
    x = 51,143,959,549.85/350,098.38
  6. Step 6: Final answer
    x = 146,084.54

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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.