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Finding the Fourth Proportional to 212,751.73, 293,599.16 and 117,258.67

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Solution

The fourth proportional to 212,751.73, 293,599.16 and 117,258.67 is: 161,817.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,751.73 : 293,599.16 = 117,258.67 : x
  2. Step 2: Convert to fraction form
    212,751.73/293,599.16 = 117,258.67/x
  3. Step 3: Cross multiply
    212,751.73x = 293,599.16 × 117,258.67
  4. Step 4: Simplify right side
    212,751.73x = 34,427,045,839.87
  5. Step 5: Solve for x
    x = 34,427,045,839.87/212,751.73
  6. Step 6: Final answer
    x = 161,817.94

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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.