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Finding the Fourth Proportional to 202,724.64, 279,818.38 and 133,864.38

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Solution

The fourth proportional to 202,724.64, 279,818.38 and 133,864.38 is: 184,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,724.64 : 279,818.38 = 133,864.38 : x
  2. Step 2: Convert to fraction form
    202,724.64/279,818.38 = 133,864.38/x
  3. Step 3: Cross multiply
    202,724.64x = 279,818.38 × 133,864.38
  4. Step 4: Simplify right side
    202,724.64x = 37,457,714,118.63
  5. Step 5: Solve for x
    x = 37,457,714,118.63/202,724.64
  6. Step 6: Final answer
    x = 184,771.39

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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.