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Finding the Fourth Proportional to 350,535.84, 525,892.29 and 97,816.14

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Solution

The fourth proportional to 350,535.84, 525,892.29 and 97,816.14 is: 146,748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,535.84 : 525,892.29 = 97,816.14 : x
  2. Step 2: Convert to fraction form
    350,535.84/525,892.29 = 97,816.14/x
  3. Step 3: Cross multiply
    350,535.84x = 525,892.29 × 97,816.14
  4. Step 4: Simplify right side
    350,535.84x = 51,440,753,863.56
  5. Step 5: Solve for x
    x = 51,440,753,863.56/350,535.84
  6. Step 6: Final answer
    x = 146,748.91

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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.