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Finding the Fourth Proportional to 225,717.92, 311,429.04 and 140,848.64

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Solution

The fourth proportional to 225,717.92, 311,429.04 and 140,848.64 is: 194,332.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,717.92 : 311,429.04 = 140,848.64 : x
  2. Step 2: Convert to fraction form
    225,717.92/311,429.04 = 140,848.64/x
  3. Step 3: Cross multiply
    225,717.92x = 311,429.04 × 140,848.64
  4. Step 4: Simplify right side
    225,717.92x = 43,864,356,740.51
  5. Step 5: Solve for x
    x = 43,864,356,740.51/225,717.92
  6. Step 6: Final answer
    x = 194,332.63

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1.5x scale

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.