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Finding the Fourth Proportional to 232,705.80, 349,058.70 and 164,799.45

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Solution

The fourth proportional to 232,705.80, 349,058.70 and 164,799.45 is: 247,199.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,705.80 : 349,058.70 = 164,799.45 : x
  2. Step 2: Convert to fraction form
    232,705.80/349,058.70 = 164,799.45/x
  3. Step 3: Cross multiply
    232,705.80x = 349,058.70 × 164,799.45
  4. Step 4: Simplify right side
    232,705.80x = 57,524,681,777.72
  5. Step 5: Solve for x
    x = 57,524,681,777.72/232,705.80
  6. Step 6: Final answer
    x = 247,199.18

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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.