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Finding the Fourth Proportional to 142,377.71, 196,424.74 and 81,915.82

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Solution

The fourth proportional to 142,377.71, 196,424.74 and 81,915.82 is: 113,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,377.71 : 196,424.74 = 81,915.82 : x
  2. Step 2: Convert to fraction form
    142,377.71/196,424.74 = 81,915.82/x
  3. Step 3: Cross multiply
    142,377.71x = 196,424.74 × 81,915.82
  4. Step 4: Simplify right side
    142,377.71x = 16,090,293,440.60
  5. Step 5: Solve for x
    x = 16,090,293,440.60/142,377.71
  6. Step 6: Final answer
    x = 113,011.32

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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.