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Finding the Fourth Proportional to 107,812.80, 161,719.20 and 97,315.20

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Solution

The fourth proportional to 107,812.80, 161,719.20 and 97,315.20 is: 145,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,812.80 : 161,719.20 = 97,315.20 : x
  2. Step 2: Convert to fraction form
    107,812.80/161,719.20 = 97,315.20/x
  3. Step 3: Cross multiply
    107,812.80x = 161,719.20 × 97,315.20
  4. Step 4: Simplify right side
    107,812.80x = 15,737,736,291.84
  5. Step 5: Solve for x
    x = 15,737,736,291.84/107,812.80
  6. Step 6: Final answer
    x = 145,972.80

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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.