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Finding the Fourth Proportional to 242,716.85, 334,960.74 and 135,287.76

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Solution

The fourth proportional to 242,716.85, 334,960.74 and 135,287.76 is: 186,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,716.85 : 334,960.74 = 135,287.76 : x
  2. Step 2: Convert to fraction form
    242,716.85/334,960.74 = 135,287.76/x
  3. Step 3: Cross multiply
    242,716.85x = 334,960.74 × 135,287.76
  4. Step 4: Simplify right side
    242,716.85x = 45,316,088,202.54
  5. Step 5: Solve for x
    x = 45,316,088,202.54/242,716.85
  6. Step 6: Final answer
    x = 186,703.52

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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.