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Finding the Fourth Proportional to 189,653.60, 284,478.56 and 77,307.44

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Solution

The fourth proportional to 189,653.60, 284,478.56 and 77,307.44 is: 115,960.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,653.60 : 284,478.56 = 77,307.44 : x
  2. Step 2: Convert to fraction form
    189,653.60/284,478.56 = 77,307.44/x
  3. Step 3: Cross multiply
    189,653.60x = 284,478.56 × 77,307.44
  4. Step 4: Simplify right side
    189,653.60x = 21,992,309,208.49
  5. Step 5: Solve for x
    x = 21,992,309,208.49/189,653.60
  6. Step 6: Final answer
    x = 115,960.41

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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.