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Finding the Fourth Proportional to 105,114.40, 157,671.60 and 96,512.80

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Solution

The fourth proportional to 105,114.40, 157,671.60 and 96,512.80 is: 144,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,114.40 : 157,671.60 = 96,512.80 : x
  2. Step 2: Convert to fraction form
    105,114.40/157,671.60 = 96,512.80/x
  3. Step 3: Cross multiply
    105,114.40x = 157,671.60 × 96,512.80
  4. Step 4: Simplify right side
    105,114.40x = 15,217,327,596.48
  5. Step 5: Solve for x
    x = 15,217,327,596.48/105,114.40
  6. Step 6: Final answer
    x = 144,769.20

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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.