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Finding the Fourth Proportional to 142,920.46, 197,216.01 and 82,510.60

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Solution

The fourth proportional to 142,920.46, 197,216.01 and 82,510.60 is: 113,856.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,920.46 : 197,216.01 = 82,510.60 : x
  2. Step 2: Convert to fraction form
    142,920.46/197,216.01 = 82,510.60/x
  3. Step 3: Cross multiply
    142,920.46x = 197,216.01 × 82,510.60
  4. Step 4: Simplify right side
    142,920.46x = 16,272,411,314.71
  5. Step 5: Solve for x
    x = 16,272,411,314.71/142,920.46
  6. Step 6: Final answer
    x = 113,856.42

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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.