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Finding the Fourth Proportional to 232,575.86, 348,642.34 and 74,693.60

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Solution

The fourth proportional to 232,575.86, 348,642.34 and 74,693.60 is: 111,969.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,575.86 : 348,642.34 = 74,693.60 : x
  2. Step 2: Convert to fraction form
    232,575.86/348,642.34 = 74,693.60/x
  3. Step 3: Cross multiply
    232,575.86x = 348,642.34 × 74,693.60
  4. Step 4: Simplify right side
    232,575.86x = 26,041,351,487.02
  5. Step 5: Solve for x
    x = 26,041,351,487.02/232,575.86
  6. Step 6: Final answer
    x = 111,969.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.