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Finding the Fourth Proportional to 212,852.17, 293,749.23 and 117,358.72

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Solution

The fourth proportional to 212,852.17, 293,749.23 and 117,358.72 is: 161,962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,852.17 : 293,749.23 = 117,358.72 : x
  2. Step 2: Convert to fraction form
    212,852.17/293,749.23 = 117,358.72/x
  3. Step 3: Cross multiply
    212,852.17x = 293,749.23 × 117,358.72
  4. Step 4: Simplify right side
    212,852.17x = 34,474,033,633.79
  5. Step 5: Solve for x
    x = 34,474,033,633.79/212,852.17
  6. Step 6: Final answer
    x = 161,962.33

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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.