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Finding the Fourth Proportional to 135,307.68, 186,816.48 and 84,340.80

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Solution

The fourth proportional to 135,307.68, 186,816.48 and 84,340.80 is: 116,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,307.68 : 186,816.48 = 84,340.80 : x
  2. Step 2: Convert to fraction form
    135,307.68/186,816.48 = 84,340.80/x
  3. Step 3: Cross multiply
    135,307.68x = 186,816.48 × 84,340.80
  4. Step 4: Simplify right side
    135,307.68x = 15,756,251,376.38
  5. Step 5: Solve for x
    x = 15,756,251,376.38/135,307.68
  6. Step 6: Final answer
    x = 116,447.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.