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Finding the Fourth Proportional to 243,456, 365,188.05 and 110,337.39

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Solution

The fourth proportional to 243,456, 365,188.05 and 110,337.39 is: 165,507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,456 : 365,188.05 = 110,337.39 : x
  2. Step 2: Convert to fraction form
    243,456/365,188.05 = 110,337.39/x
  3. Step 3: Cross multiply
    243,456x = 365,188.05 × 110,337.39
  4. Step 4: Simplify right side
    243,456x = 40,293,896,296.19
  5. Step 5: Solve for x
    x = 40,293,896,296.19/243,456
  6. Step 6: Final answer
    x = 165,507.92

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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.