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Finding the Fourth Proportional to 133,592.64, 200,326.64 and 77,448.80

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Solution

The fourth proportional to 133,592.64, 200,326.64 and 77,448.80 is: 116,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,592.64 : 200,326.64 = 77,448.80 : x
  2. Step 2: Convert to fraction form
    133,592.64/200,326.64 = 77,448.80/x
  3. Step 3: Cross multiply
    133,592.64x = 200,326.64 × 77,448.80
  4. Step 4: Simplify right side
    133,592.64x = 15,515,057,876.03
  5. Step 5: Solve for x
    x = 15,515,057,876.03/133,592.64
  6. Step 6: Final answer
    x = 116,137.07

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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.