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Finding the Fourth Proportional to 183,411.83, 253,084.94 and 106,911.78

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Solution

The fourth proportional to 183,411.83, 253,084.94 and 106,911.78 is: 147,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,411.83 : 253,084.94 = 106,911.78 : x
  2. Step 2: Convert to fraction form
    183,411.83/253,084.94 = 106,911.78/x
  3. Step 3: Cross multiply
    183,411.83x = 253,084.94 × 106,911.78
  4. Step 4: Simplify right side
    183,411.83x = 27,057,760,892.03
  5. Step 5: Solve for x
    x = 27,057,760,892.03/183,411.83
  6. Step 6: Final answer
    x = 147,524.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.