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Finding the Fourth Proportional to 109,206.40, 163,780.80 and 34,326.40

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Solution

The fourth proportional to 109,206.40, 163,780.80 and 34,326.40 is: 51,480.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,206.40 : 163,780.80 = 34,326.40 : x
  2. Step 2: Convert to fraction form
    109,206.40/163,780.80 = 34,326.40/x
  3. Step 3: Cross multiply
    109,206.40x = 163,780.80 × 34,326.40
  4. Step 4: Simplify right side
    109,206.40x = 5,622,005,253.12
  5. Step 5: Solve for x
    x = 5,622,005,253.12/109,206.40
  6. Step 6: Final answer
    x = 51,480.55

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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.