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Finding the Fourth Proportional to 224,632.84, 309,994.82 and 122,659.01

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Solution

The fourth proportional to 224,632.84, 309,994.82 and 122,659.01 is: 169,270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,632.84 : 309,994.82 = 122,659.01 : x
  2. Step 2: Convert to fraction form
    224,632.84/309,994.82 = 122,659.01/x
  3. Step 3: Cross multiply
    224,632.84x = 309,994.82 × 122,659.01
  4. Step 4: Simplify right side
    224,632.84x = 38,023,658,184.39
  5. Step 5: Solve for x
    x = 38,023,658,184.39/224,632.84
  6. Step 6: Final answer
    x = 169,270.25

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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.