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Finding the Fourth Proportional to 232,783.08, 321,225.06 and 137,285.48

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Solution

The fourth proportional to 232,783.08, 321,225.06 and 137,285.48 is: 189,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,783.08 : 321,225.06 = 137,285.48 : x
  2. Step 2: Convert to fraction form
    232,783.08/321,225.06 = 137,285.48/x
  3. Step 3: Cross multiply
    232,783.08x = 321,225.06 × 137,285.48
  4. Step 4: Simplify right side
    232,783.08x = 44,099,536,550.13
  5. Step 5: Solve for x
    x = 44,099,536,550.13/232,783.08
  6. Step 6: Final answer
    x = 189,444.77

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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.