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Finding the Fourth Proportional to 174,714.41, 240,772.32 and 150,507.77

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Solution

The fourth proportional to 174,714.41, 240,772.32 and 150,507.77 is: 207,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,714.41 : 240,772.32 = 150,507.77 : x
  2. Step 2: Convert to fraction form
    174,714.41/240,772.32 = 150,507.77/x
  3. Step 3: Cross multiply
    174,714.41x = 240,772.32 × 150,507.77
  4. Step 4: Simplify right side
    174,714.41x = 36,238,103,757.06
  5. Step 5: Solve for x
    x = 36,238,103,757.06/174,714.41
  6. Step 6: Final answer
    x = 207,413.37

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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.