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Finding the Fourth Proportional to 102,822.80, 154,291.80 and 43,648.40

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Solution

The fourth proportional to 102,822.80, 154,291.80 and 43,648.40 is: 65,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,822.80 : 154,291.80 = 43,648.40 : x
  2. Step 2: Convert to fraction form
    102,822.80/154,291.80 = 43,648.40/x
  3. Step 3: Cross multiply
    102,822.80x = 154,291.80 × 43,648.40
  4. Step 4: Simplify right side
    102,822.80x = 6,734,590,203.12
  5. Step 5: Solve for x
    x = 6,734,590,203.12/102,822.80
  6. Step 6: Final answer
    x = 65,497.05

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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.