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Finding the Fourth Proportional to 350,150.82, 525,193.83 and 97,435.14

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Solution

The fourth proportional to 350,150.82, 525,193.83 and 97,435.14 is: 146,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,150.82 : 525,193.83 = 97,435.14 : x
  2. Step 2: Convert to fraction form
    350,150.82/525,193.83 = 97,435.14/x
  3. Step 3: Cross multiply
    350,150.82x = 525,193.83 × 97,435.14
  4. Step 4: Simplify right side
    350,150.82x = 51,172,334,353.19
  5. Step 5: Solve for x
    x = 51,172,334,353.19/350,150.82
  6. Step 6: Final answer
    x = 146,143.69

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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.