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Finding the Fourth Proportional to 353,189.97, 529,728.12 and 96,962.76

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Solution

The fourth proportional to 353,189.97, 529,728.12 and 96,962.76 is: 145,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,189.97 : 529,728.12 = 96,962.76 : x
  2. Step 2: Convert to fraction form
    353,189.97/529,728.12 = 96,962.76/x
  3. Step 3: Cross multiply
    353,189.97x = 529,728.12 × 96,962.76
  4. Step 4: Simplify right side
    353,189.97x = 51,363,900,564.81
  5. Step 5: Solve for x
    x = 51,363,900,564.81/353,189.97
  6. Step 6: Final answer
    x = 145,428.54

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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.