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Finding the Fourth Proportional to 133,854.39, 200,716.99 and 77,708.63

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Solution

The fourth proportional to 133,854.39, 200,716.99 and 77,708.63 is: 116,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,854.39 : 200,716.99 = 77,708.63 : x
  2. Step 2: Convert to fraction form
    133,854.39/200,716.99 = 77,708.63/x
  3. Step 3: Cross multiply
    133,854.39x = 200,716.99 × 77,708.63
  4. Step 4: Simplify right side
    133,854.39x = 15,597,441,307.04
  5. Step 5: Solve for x
    x = 15,597,441,307.04/133,854.39
  6. Step 6: Final answer
    x = 116,525.44

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1.5x scale

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.