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Finding the Fourth Proportional to 189,877.84, 284,844.40 and 69,992.17

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Solution

The fourth proportional to 189,877.84, 284,844.40 and 69,992.17 is: 104,998.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,877.84 : 284,844.40 = 69,992.17 : x
  2. Step 2: Convert to fraction form
    189,877.84/284,844.40 = 69,992.17/x
  3. Step 3: Cross multiply
    189,877.84x = 284,844.40 × 69,992.17
  4. Step 4: Simplify right side
    189,877.84x = 19,936,876,781.26
  5. Step 5: Solve for x
    x = 19,936,876,781.26/189,877.84
  6. Step 6: Final answer
    x = 104,998.44

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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.