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Finding the Fourth Proportional to 232,777.72, 348,978.15 and 72,771.28

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Solution

The fourth proportional to 232,777.72, 348,978.15 and 72,771.28 is: 109,098.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,777.72 : 348,978.15 = 72,771.28 : x
  2. Step 2: Convert to fraction form
    232,777.72/348,978.15 = 72,771.28/x
  3. Step 3: Cross multiply
    232,777.72x = 348,978.15 × 72,771.28
  4. Step 4: Simplify right side
    232,777.72x = 25,395,586,667.53
  5. Step 5: Solve for x
    x = 25,395,586,667.53/232,777.72
  6. Step 6: Final answer
    x = 109,098.01

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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.