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Finding the Fourth Proportional to 233,685.46, 350,396.88 and 96,866.74

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Solution

The fourth proportional to 233,685.46, 350,396.88 and 96,866.74 is: 145,245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,685.46 : 350,396.88 = 96,866.74 : x
  2. Step 2: Convert to fraction form
    233,685.46/350,396.88 = 96,866.74/x
  3. Step 3: Cross multiply
    233,685.46x = 350,396.88 × 96,866.74
  4. Step 4: Simplify right side
    233,685.46x = 33,941,803,471.77
  5. Step 5: Solve for x
    x = 33,941,803,471.77/233,685.46
  6. Step 6: Final answer
    x = 145,245.68

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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.