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Finding the Fourth Proportional to 225,967.52, 311,848.16 and 136,572.32

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Solution

The fourth proportional to 225,967.52, 311,848.16 and 136,572.32 is: 188,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,967.52 : 311,848.16 = 136,572.32 : x
  2. Step 2: Convert to fraction form
    225,967.52/311,848.16 = 136,572.32/x
  3. Step 3: Cross multiply
    225,967.52x = 311,848.16 × 136,572.32
  4. Step 4: Simplify right side
    225,967.52x = 42,589,826,698.93
  5. Step 5: Solve for x
    x = 42,589,826,698.93/225,967.52
  6. Step 6: Final answer
    x = 188,477.65

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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.