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Finding the Fourth Proportional to 212,844.84, 293,727.86 and 117,354.93

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Solution

The fourth proportional to 212,844.84, 293,727.86 and 117,354.93 is: 161,950.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,844.84 : 293,727.86 = 117,354.93 : x
  2. Step 2: Convert to fraction form
    212,844.84/293,727.86 = 117,354.93/x
  3. Step 3: Cross multiply
    212,844.84x = 293,727.86 × 117,354.93
  4. Step 4: Simplify right side
    212,844.84x = 34,470,412,449.35
  5. Step 5: Solve for x
    x = 34,470,412,449.35/212,844.84
  6. Step 6: Final answer
    x = 161,950.90

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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.