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Finding the Fourth Proportional to 265,088.61, 397,657.43 and 107,329.37

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Solution

The fourth proportional to 265,088.61, 397,657.43 and 107,329.37 is: 161,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,088.61 : 397,657.43 = 107,329.37 : x
  2. Step 2: Convert to fraction form
    265,088.61/397,657.43 = 107,329.37/x
  3. Step 3: Cross multiply
    265,088.61x = 397,657.43 × 107,329.37
  4. Step 4: Simplify right side
    265,088.61x = 42,680,318,912.79
  5. Step 5: Solve for x
    x = 42,680,318,912.79/265,088.61
  6. Step 6: Final answer
    x = 161,003.97

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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.