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Finding the Fourth Proportional to 242,043, 334,019.34 and 136,059

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Solution

The fourth proportional to 242,043, 334,019.34 and 136,059 is: 187,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,043 : 334,019.34 = 136,059 : x
  2. Step 2: Convert to fraction form
    242,043/334,019.34 = 136,059/x
  3. Step 3: Cross multiply
    242,043x = 334,019.34 × 136,059
  4. Step 4: Simplify right side
    242,043x = 45,446,337,381.06
  5. Step 5: Solve for x
    x = 45,446,337,381.06/242,043
  6. Step 6: Final answer
    x = 187,761.42

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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.