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Finding the Fourth Proportional to 232,965, 349,447.50 and 66,753

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Solution

The fourth proportional to 232,965, 349,447.50 and 66,753 is: 100,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,965 : 349,447.50 = 66,753 : x
  2. Step 2: Convert to fraction form
    232,965/349,447.50 = 66,753/x
  3. Step 3: Cross multiply
    232,965x = 349,447.50 × 66,753
  4. Step 4: Simplify right side
    232,965x = 23,326,668,967.50
  5. Step 5: Solve for x
    x = 23,326,668,967.50/232,965
  6. Step 6: Final answer
    x = 100,129.50

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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.