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Finding the Fourth Proportional to 142,715.79, 213,918.94 and 71,466.66

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Solution

The fourth proportional to 142,715.79, 213,918.94 and 71,466.66 is: 107,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,715.79 : 213,918.94 = 71,466.66 : x
  2. Step 2: Convert to fraction form
    142,715.79/213,918.94 = 71,466.66/x
  3. Step 3: Cross multiply
    142,715.79x = 213,918.94 × 71,466.66
  4. Step 4: Simplify right side
    142,715.79x = 15,288,072,152.54
  5. Step 5: Solve for x
    x = 15,288,072,152.54/142,715.79
  6. Step 6: Final answer
    x = 107,122.50

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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.