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Finding the Fourth Proportional to 107,970.80, 161,885.80 and 96,911.60

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Solution

The fourth proportional to 107,970.80, 161,885.80 and 96,911.60 is: 145,304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,970.80 : 161,885.80 = 96,911.60 : x
  2. Step 2: Convert to fraction form
    107,970.80/161,885.80 = 96,911.60/x
  3. Step 3: Cross multiply
    107,970.80x = 161,885.80 × 96,911.60
  4. Step 4: Simplify right side
    107,970.80x = 15,688,611,895.28
  5. Step 5: Solve for x
    x = 15,688,611,895.28/107,970.80
  6. Step 6: Final answer
    x = 145,304.21

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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.