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Finding the Fourth Proportional to 242,494.77, 334,634.11 and 135,059.00

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Solution

The fourth proportional to 242,494.77, 334,634.11 and 135,059.00 is: 186,376.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,494.77 : 334,634.11 = 135,059.00 : x
  2. Step 2: Convert to fraction form
    242,494.77/334,634.11 = 135,059.00/x
  3. Step 3: Cross multiply
    242,494.77x = 334,634.11 × 135,059.00
  4. Step 4: Simplify right side
    242,494.77x = 45,195,348,761.43
  5. Step 5: Solve for x
    x = 45,195,348,761.43/242,494.77
  6. Step 6: Final answer
    x = 186,376.59

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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.