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Finding the Fourth Proportional to 99,222, 148,833 and 25,350

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Solution

The fourth proportional to 99,222, 148,833 and 25,350 is: 38,025

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,222 : 148,833 = 25,350 : x
  2. Step 2: Convert to fraction form
    99,222/148,833 = 25,350/x
  3. Step 3: Cross multiply
    99,222x = 148,833 × 25,350
  4. Step 4: Simplify right side
    99,222x = 3,772,916,550
  5. Step 5: Solve for x
    x = 3,772,916,550/99,222
  6. Step 6: Final answer
    x = 38,025

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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.