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Finding the Fourth Proportional to 218,534.22, 301,576.50 and 123,071.40

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Solution

The fourth proportional to 218,534.22, 301,576.50 and 123,071.40 is: 169,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,534.22 : 301,576.50 = 123,071.40 : x
  2. Step 2: Convert to fraction form
    218,534.22/301,576.50 = 123,071.40/x
  3. Step 3: Cross multiply
    218,534.22x = 301,576.50 × 123,071.40
  4. Step 4: Simplify right side
    218,534.22x = 37,115,442,062.10
  5. Step 5: Solve for x
    x = 37,115,442,062.10/218,534.22
  6. Step 6: Final answer
    x = 169,838.12

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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.