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Finding the Fourth Proportional to 105,496.80, 158,266.80 and 35,426.40

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Solution

The fourth proportional to 105,496.80, 158,266.80 and 35,426.40 is: 53,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,496.80 : 158,266.80 = 35,426.40 : x
  2. Step 2: Convert to fraction form
    105,496.80/158,266.80 = 35,426.40/x
  3. Step 3: Cross multiply
    105,496.80x = 158,266.80 × 35,426.40
  4. Step 4: Simplify right side
    105,496.80x = 5,606,822,963.52
  5. Step 5: Solve for x
    x = 5,606,822,963.52/105,496.80
  6. Step 6: Final answer
    x = 53,146.85

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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.