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Finding the Fourth Proportional to 212,538.88, 293,301.36 and 117,043.60

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Solution

The fourth proportional to 212,538.88, 293,301.36 and 117,043.60 is: 161,518.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,538.88 : 293,301.36 = 117,043.60 : x
  2. Step 2: Convert to fraction form
    212,538.88/293,301.36 = 117,043.60/x
  3. Step 3: Cross multiply
    212,538.88x = 293,301.36 × 117,043.60
  4. Step 4: Simplify right side
    212,538.88x = 34,329,047,059.30
  5. Step 5: Solve for x
    x = 34,329,047,059.30/212,538.88
  6. Step 6: Final answer
    x = 161,518.90

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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.