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Finding the Fourth Proportional to 212,536.98, 293,301.36 and 117,043.74

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Solution

The fourth proportional to 212,536.98, 293,301.36 and 117,043.74 is: 161,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,536.98 : 293,301.36 = 117,043.74 : x
  2. Step 2: Convert to fraction form
    212,536.98/293,301.36 = 117,043.74/x
  3. Step 3: Cross multiply
    212,536.98x = 293,301.36 × 117,043.74
  4. Step 4: Simplify right side
    212,536.98x = 34,329,088,121.49
  5. Step 5: Solve for x
    x = 34,329,088,121.49/212,536.98
  6. Step 6: Final answer
    x = 161,520.54

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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.