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Finding the Fourth Proportional to 343,705.95, 515,351.84 and 154,132.07

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Solution

The fourth proportional to 343,705.95, 515,351.84 and 154,132.07 is: 231,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,705.95 : 515,351.84 = 154,132.07 : x
  2. Step 2: Convert to fraction form
    343,705.95/515,351.84 = 154,132.07/x
  3. Step 3: Cross multiply
    343,705.95x = 515,351.84 × 154,132.07
  4. Step 4: Simplify right side
    343,705.95x = 79,432,242,530.09
  5. Step 5: Solve for x
    x = 79,432,242,530.09/343,705.95
  6. Step 6: Final answer
    x = 231,105.23

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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.