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Finding the Fourth Proportional to 252,005.72, 347,783.66 and 138,828.48

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Solution

The fourth proportional to 252,005.72, 347,783.66 and 138,828.48 is: 191,591.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,005.72 : 347,783.66 = 138,828.48 : x
  2. Step 2: Convert to fraction form
    252,005.72/347,783.66 = 138,828.48/x
  3. Step 3: Cross multiply
    252,005.72x = 347,783.66 × 138,828.48
  4. Step 4: Simplify right side
    252,005.72x = 48,282,276,886.64
  5. Step 5: Solve for x
    x = 48,282,276,886.64/252,005.72
  6. Step 6: Final answer
    x = 191,591.99

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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.