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Finding the Fourth Proportional to 140,206.46, 193,477.58 and 76,531.95

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Solution

The fourth proportional to 140,206.46, 193,477.58 and 76,531.95 is: 105,610.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,206.46 : 193,477.58 = 76,531.95 : x
  2. Step 2: Convert to fraction form
    140,206.46/193,477.58 = 76,531.95/x
  3. Step 3: Cross multiply
    140,206.46x = 193,477.58 × 76,531.95
  4. Step 4: Simplify right side
    140,206.46x = 14,807,216,096.02
  5. Step 5: Solve for x
    x = 14,807,216,096.02/140,206.46
  6. Step 6: Final answer
    x = 105,610.09

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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.