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Finding the Fourth Proportional to 107,498.74, 161,072.74 and 65,391.70

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Solution

The fourth proportional to 107,498.74, 161,072.74 and 65,391.70 is: 97,980.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,498.74 : 161,072.74 = 65,391.70 : x
  2. Step 2: Convert to fraction form
    107,498.74/161,072.74 = 65,391.70/x
  3. Step 3: Cross multiply
    107,498.74x = 161,072.74 × 65,391.70
  4. Step 4: Simplify right side
    107,498.74x = 10,532,820,292.26
  5. Step 5: Solve for x
    x = 10,532,820,292.26/107,498.74
  6. Step 6: Final answer
    x = 97,980.87

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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.