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Finding the Fourth Proportional to 194,218.48, 291,257.25 and 67,823.25

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Solution

The fourth proportional to 194,218.48, 291,257.25 and 67,823.25 is: 101,710.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,218.48 : 291,257.25 = 67,823.25 : x
  2. Step 2: Convert to fraction form
    194,218.48/291,257.25 = 67,823.25/x
  3. Step 3: Cross multiply
    194,218.48x = 291,257.25 × 67,823.25
  4. Step 4: Simplify right side
    194,218.48x = 19,754,013,281.06
  5. Step 5: Solve for x
    x = 19,754,013,281.06/194,218.48
  6. Step 6: Final answer
    x = 101,710.27

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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.