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Finding the Fourth Proportional to 232,697.61, 348,723.47 and 106,028.29

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Solution

The fourth proportional to 232,697.61, 348,723.47 and 106,028.29 is: 158,895.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,697.61 : 348,723.47 = 106,028.29 : x
  2. Step 2: Convert to fraction form
    232,697.61/348,723.47 = 106,028.29/x
  3. Step 3: Cross multiply
    232,697.61x = 348,723.47 × 106,028.29
  4. Step 4: Simplify right side
    232,697.61x = 36,974,553,206.97
  5. Step 5: Solve for x
    x = 36,974,553,206.97/232,697.61
  6. Step 6: Final answer
    x = 158,895.29

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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.