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Finding the Fourth Proportional to 232,219, 348,387.02 and 66,007

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Solution

The fourth proportional to 232,219, 348,387.02 and 66,007 is: 99,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,219 : 348,387.02 = 66,007 : x
  2. Step 2: Convert to fraction form
    232,219/348,387.02 = 66,007/x
  3. Step 3: Cross multiply
    232,219x = 348,387.02 × 66,007
  4. Step 4: Simplify right side
    232,219x = 22,995,982,029.14
  5. Step 5: Solve for x
    x = 22,995,982,029.14/232,219
  6. Step 6: Final answer
    x = 99,027.13

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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.