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Finding the Fourth Proportional to 225,722.16, 310,787.28 and 191,658.96

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Solution

The fourth proportional to 225,722.16, 310,787.28 and 191,658.96 is: 263,887.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,722.16 : 310,787.28 = 191,658.96 : x
  2. Step 2: Convert to fraction form
    225,722.16/310,787.28 = 191,658.96/x
  3. Step 3: Cross multiply
    225,722.16x = 310,787.28 × 191,658.96
  4. Step 4: Simplify right side
    225,722.16x = 59,565,166,866.03
  5. Step 5: Solve for x
    x = 59,565,166,866.03/225,722.16
  6. Step 6: Final answer
    x = 263,887.10

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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.