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Finding the Fourth Proportional to 122,078.50, 183,118.89 and 43,206.10

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Solution

The fourth proportional to 122,078.50, 183,118.89 and 43,206.10 is: 64,809.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,078.50 : 183,118.89 = 43,206.10 : x
  2. Step 2: Convert to fraction form
    122,078.50/183,118.89 = 43,206.10/x
  3. Step 3: Cross multiply
    122,078.50x = 183,118.89 × 43,206.10
  4. Step 4: Simplify right side
    122,078.50x = 7,911,853,073.23
  5. Step 5: Solve for x
    x = 7,911,853,073.23/122,078.50
  6. Step 6: Final answer
    x = 64,809.55

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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.