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Finding the Fourth Proportional to 152,143.68, 228,202.56 and 46,963.44

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Solution

The fourth proportional to 152,143.68, 228,202.56 and 46,963.44 is: 70,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,143.68 : 228,202.56 = 46,963.44 : x
  2. Step 2: Convert to fraction form
    152,143.68/228,202.56 = 46,963.44/x
  3. Step 3: Cross multiply
    152,143.68x = 228,202.56 × 46,963.44
  4. Step 4: Simplify right side
    152,143.68x = 10,717,177,234.41
  5. Step 5: Solve for x
    x = 10,717,177,234.41/152,143.68
  6. Step 6: Final answer
    x = 70,441.16

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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.