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Finding the Fourth Proportional to 225,168, 310,733.06 and 123,194.67

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Solution

The fourth proportional to 225,168, 310,733.06 and 123,194.67 is: 170,009.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,168 : 310,733.06 = 123,194.67 : x
  2. Step 2: Convert to fraction form
    225,168/310,733.06 = 123,194.67/x
  3. Step 3: Cross multiply
    225,168x = 310,733.06 × 123,194.67
  4. Step 4: Simplify right side
    225,168x = 38,280,656,168.82
  5. Step 5: Solve for x
    x = 38,280,656,168.82/225,168
  6. Step 6: Final answer
    x = 170,009.31

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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.