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Finding the Fourth Proportional to 107,805.80, 161,708.70 and 97,308.20

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Solution

The fourth proportional to 107,805.80, 161,708.70 and 97,308.20 is: 145,962.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,805.80 : 161,708.70 = 97,308.20 : x
  2. Step 2: Convert to fraction form
    107,805.80/161,708.70 = 97,308.20/x
  3. Step 3: Cross multiply
    107,805.80x = 161,708.70 × 97,308.20
  4. Step 4: Simplify right side
    107,805.80x = 15,735,582,521.34
  5. Step 5: Solve for x
    x = 15,735,582,521.34/107,805.80
  6. Step 6: Final answer
    x = 145,962.30

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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.