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Finding the Fourth Proportional to 114,047.60, 170,875.02 and 80,712.80

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Solution

The fourth proportional to 114,047.60, 170,875.02 and 80,712.80 is: 120,930.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,047.60 : 170,875.02 = 80,712.80 : x
  2. Step 2: Convert to fraction form
    114,047.60/170,875.02 = 80,712.80/x
  3. Step 3: Cross multiply
    114,047.60x = 170,875.02 × 80,712.80
  4. Step 4: Simplify right side
    114,047.60x = 13,791,801,314.26
  5. Step 5: Solve for x
    x = 13,791,801,314.26/114,047.60
  6. Step 6: Final answer
    x = 120,930.22

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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.