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Finding the Fourth Proportional to 243,724.50, 336,333.50 and 134,826

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Solution

The fourth proportional to 243,724.50, 336,333.50 and 134,826 is: 186,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,724.50 : 336,333.50 = 134,826 : x
  2. Step 2: Convert to fraction form
    243,724.50/336,333.50 = 134,826/x
  3. Step 3: Cross multiply
    243,724.50x = 336,333.50 × 134,826
  4. Step 4: Simplify right side
    243,724.50x = 45,346,499,796.87
  5. Step 5: Solve for x
    x = 45,346,499,796.87/243,724.50
  6. Step 6: Final answer
    x = 186,056.39

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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.