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Finding the Fourth Proportional to 102,778.32, 154,194.36 and 43,616.40

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Solution

The fourth proportional to 102,778.32, 154,194.36 and 43,616.40 is: 65,436.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,778.32 : 154,194.36 = 43,616.40 : x
  2. Step 2: Convert to fraction form
    102,778.32/154,194.36 = 43,616.40/x
  3. Step 3: Cross multiply
    102,778.32x = 154,194.36 × 43,616.40
  4. Step 4: Simplify right side
    102,778.32x = 6,725,402,883.50
  5. Step 5: Solve for x
    x = 6,725,402,883.50/102,778.32
  6. Step 6: Final answer
    x = 65,436.01

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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.