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Finding the Fourth Proportional to 97,660.16, 146,339.46 and 65,945.93

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Solution

The fourth proportional to 97,660.16, 146,339.46 and 65,945.93 is: 98,817.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,660.16 : 146,339.46 = 65,945.93 : x
  2. Step 2: Convert to fraction form
    97,660.16/146,339.46 = 65,945.93/x
  3. Step 3: Cross multiply
    97,660.16x = 146,339.46 × 65,945.93
  4. Step 4: Simplify right side
    97,660.16x = 9,650,491,053.70
  5. Step 5: Solve for x
    x = 9,650,491,053.70/97,660.16
  6. Step 6: Final answer
    x = 98,817.08

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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.