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Finding the Fourth Proportional to 212,693.76, 293,623.68 and 164,839.68

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Solution

The fourth proportional to 212,693.76, 293,623.68 and 164,839.68 is: 227,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,693.76 : 293,623.68 = 164,839.68 : x
  2. Step 2: Convert to fraction form
    212,693.76/293,623.68 = 164,839.68/x
  3. Step 3: Cross multiply
    212,693.76x = 293,623.68 × 164,839.68
  4. Step 4: Simplify right side
    212,693.76x = 48,400,833,451.62
  5. Step 5: Solve for x
    x = 48,400,833,451.62/212,693.76
  6. Step 6: Final answer
    x = 227,561.14

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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.