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Finding the Fourth Proportional to 192,218, 265,259.78 and 106,182.90

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Solution

The fourth proportional to 192,218, 265,259.78 and 106,182.90 is: 146,531.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,218 : 265,259.78 = 106,182.90 : x
  2. Step 2: Convert to fraction form
    192,218/265,259.78 = 106,182.90/x
  3. Step 3: Cross multiply
    192,218x = 265,259.78 × 106,182.90
  4. Step 4: Simplify right side
    192,218x = 28,166,052,693.76
  5. Step 5: Solve for x
    x = 28,166,052,693.76/192,218
  6. Step 6: Final answer
    x = 146,531.82

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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.