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Finding the Fourth Proportional to 243,496, 365,280.34 and 75,002.22

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Solution

The fourth proportional to 243,496, 365,280.34 and 75,002.22 is: 112,514.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,496 : 365,280.34 = 75,002.22 : x
  2. Step 2: Convert to fraction form
    243,496/365,280.34 = 75,002.22/x
  3. Step 3: Cross multiply
    243,496x = 365,280.34 × 75,002.22
  4. Step 4: Simplify right side
    243,496x = 27,396,836,422.35
  5. Step 5: Solve for x
    x = 27,396,836,422.35/243,496
  6. Step 6: Final answer
    x = 112,514.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.