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Finding the Fourth Proportional to 232,807.20, 349,243.20 and 92,533.20

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Solution

The fourth proportional to 232,807.20, 349,243.20 and 92,533.20 is: 138,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,807.20 : 349,243.20 = 92,533.20 : x
  2. Step 2: Convert to fraction form
    232,807.20/349,243.20 = 92,533.20/x
  3. Step 3: Cross multiply
    232,807.20x = 349,243.20 × 92,533.20
  4. Step 4: Simplify right side
    232,807.20x = 32,316,590,874.24
  5. Step 5: Solve for x
    x = 32,316,590,874.24/232,807.20
  6. Step 6: Final answer
    x = 138,812.68

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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.