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Finding the Fourth Proportional to 232,218, 348,385.52 and 66,006

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Solution

The fourth proportional to 232,218, 348,385.52 and 66,006 is: 99,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,218 : 348,385.52 = 66,006 : x
  2. Step 2: Convert to fraction form
    232,218/348,385.52 = 66,006/x
  3. Step 3: Cross multiply
    232,218x = 348,385.52 × 66,006
  4. Step 4: Simplify right side
    232,218x = 22,995,534,798.14
  5. Step 5: Solve for x
    x = 22,995,534,798.14/232,218
  6. Step 6: Final answer
    x = 99,025.63

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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.