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Finding the Fourth Proportional to 189,884.80, 284,802.48 and 49,654.24

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Solution

The fourth proportional to 189,884.80, 284,802.48 and 49,654.24 is: 74,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,884.80 : 284,802.48 = 49,654.24 : x
  2. Step 2: Convert to fraction form
    189,884.80/284,802.48 = 49,654.24/x
  3. Step 3: Cross multiply
    189,884.80x = 284,802.48 × 49,654.24
  4. Step 4: Simplify right side
    189,884.80x = 14,141,650,694.52
  5. Step 5: Solve for x
    x = 14,141,650,694.52/189,884.80
  6. Step 6: Final answer
    x = 74,474.90

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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.