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Finding the Fourth Proportional to 103,138.40, 154,851.60 and 65,928.80

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Solution

The fourth proportional to 103,138.40, 154,851.60 and 65,928.80 is: 98,985.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,138.40 : 154,851.60 = 65,928.80 : x
  2. Step 2: Convert to fraction form
    103,138.40/154,851.60 = 65,928.80/x
  3. Step 3: Cross multiply
    103,138.40x = 154,851.60 × 65,928.80
  4. Step 4: Simplify right side
    103,138.40x = 10,209,180,166.08
  5. Step 5: Solve for x
    x = 10,209,180,166.08/103,138.40
  6. Step 6: Final answer
    x = 98,985.25

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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.