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Finding the Fourth Proportional to 233,203.84, 349,655.04 and 127,994.56

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Solution

The fourth proportional to 233,203.84, 349,655.04 and 127,994.56 is: 191,909.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,203.84 : 349,655.04 = 127,994.56 : x
  2. Step 2: Convert to fraction form
    233,203.84/349,655.04 = 127,994.56/x
  3. Step 3: Cross multiply
    233,203.84x = 349,655.04 × 127,994.56
  4. Step 4: Simplify right side
    233,203.84x = 44,753,942,996.58
  5. Step 5: Solve for x
    x = 44,753,942,996.58/233,203.84
  6. Step 6: Final answer
    x = 191,909.12

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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.