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Finding the Fourth Proportional to 150,447.50, 224,326.21 and 146,314.07

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Solution

The fourth proportional to 150,447.50, 224,326.21 and 146,314.07 is: 218,163.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,447.50 : 224,326.21 = 146,314.07 : x
  2. Step 2: Convert to fraction form
    150,447.50/224,326.21 = 146,314.07/x
  3. Step 3: Cross multiply
    150,447.50x = 224,326.21 × 146,314.07
  4. Step 4: Simplify right side
    150,447.50x = 32,822,080,792.77
  5. Step 5: Solve for x
    x = 32,822,080,792.77/150,447.50
  6. Step 6: Final answer
    x = 218,163.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.