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Finding the Fourth Proportional to 212,823.84, 293,698.82 and 117,333.92

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Solution

The fourth proportional to 212,823.84, 293,698.82 and 117,333.92 is: 161,921.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,823.84 : 293,698.82 = 117,333.92 : x
  2. Step 2: Convert to fraction form
    212,823.84/293,698.82 = 117,333.92/x
  3. Step 3: Cross multiply
    212,823.84x = 293,698.82 × 117,333.92
  4. Step 4: Simplify right side
    212,823.84x = 34,460,833,849.97
  5. Step 5: Solve for x
    x = 34,460,833,849.97/212,823.84
  6. Step 6: Final answer
    x = 161,921.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.