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Finding the Fourth Proportional to 133,678.77, 200,539.56 and 53,716.59

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Solution

The fourth proportional to 133,678.77, 200,539.56 and 53,716.59 is: 80,583.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,678.77 : 200,539.56 = 53,716.59 : x
  2. Step 2: Convert to fraction form
    133,678.77/200,539.56 = 53,716.59/x
  3. Step 3: Cross multiply
    133,678.77x = 200,539.56 × 53,716.59
  4. Step 4: Simplify right side
    133,678.77x = 10,772,301,323.30
  5. Step 5: Solve for x
    x = 10,772,301,323.30/133,678.77
  6. Step 6: Final answer
    x = 80,583.49

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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.