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Finding the Fourth Proportional to 209,967.68, 314,785.20 and 104,732.48

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Solution

The fourth proportional to 209,967.68, 314,785.20 and 104,732.48 is: 157,015.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,967.68 : 314,785.20 = 104,732.48 : x
  2. Step 2: Convert to fraction form
    209,967.68/314,785.20 = 104,732.48/x
  3. Step 3: Cross multiply
    209,967.68x = 314,785.20 × 104,732.48
  4. Step 4: Simplify right side
    209,967.68x = 32,968,234,663.30
  5. Step 5: Solve for x
    x = 32,968,234,663.30/209,967.68
  6. Step 6: Final answer
    x = 157,015.76

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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.