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Finding the Fourth Proportional to 133,842.31, 200,722.46 and 45,071.98

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Solution

The fourth proportional to 133,842.31, 200,722.46 and 45,071.98 is: 67,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,842.31 : 200,722.46 = 45,071.98 : x
  2. Step 2: Convert to fraction form
    133,842.31/200,722.46 = 45,071.98/x
  3. Step 3: Cross multiply
    133,842.31x = 200,722.46 × 45,071.98
  4. Step 4: Simplify right side
    133,842.31x = 9,046,957,975.50
  5. Step 5: Solve for x
    x = 9,046,957,975.50/133,842.31
  6. Step 6: Final answer
    x = 67,594.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.