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Finding the Fourth Proportional to 97,287.60, 145,852.16 and 65,299.66

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Solution

The fourth proportional to 97,287.60, 145,852.16 and 65,299.66 is: 97,896.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,287.60 : 145,852.16 = 65,299.66 : x
  2. Step 2: Convert to fraction form
    97,287.60/145,852.16 = 65,299.66/x
  3. Step 3: Cross multiply
    97,287.60x = 145,852.16 × 65,299.66
  4. Step 4: Simplify right side
    97,287.60x = 9,524,096,458.27
  5. Step 5: Solve for x
    x = 9,524,096,458.27/97,287.60
  6. Step 6: Final answer
    x = 97,896.30

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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.