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Finding the Fourth Proportional to 225,903.92, 311,746.14 and 123,926.77

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Solution

The fourth proportional to 225,903.92, 311,746.14 and 123,926.77 is: 171,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,903.92 : 311,746.14 = 123,926.77 : x
  2. Step 2: Convert to fraction form
    225,903.92/311,746.14 = 123,926.77/x
  3. Step 3: Cross multiply
    225,903.92x = 311,746.14 × 123,926.77
  4. Step 4: Simplify right side
    225,903.92x = 38,633,692,190.17
  5. Step 5: Solve for x
    x = 38,633,692,190.17/225,903.92
  6. Step 6: Final answer
    x = 171,018.25

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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.