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Finding the Fourth Proportional to 209,467.36, 314,035.68 and 104,228.96

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Solution

The fourth proportional to 209,467.36, 314,035.68 and 104,228.96 is: 156,261.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,467.36 : 314,035.68 = 104,228.96 : x
  2. Step 2: Convert to fraction form
    209,467.36/314,035.68 = 104,228.96/x
  3. Step 3: Cross multiply
    209,467.36x = 314,035.68 × 104,228.96
  4. Step 4: Simplify right side
    209,467.36x = 32,731,612,329.29
  5. Step 5: Solve for x
    x = 32,731,612,329.29/209,467.36
  6. Step 6: Final answer
    x = 156,261.16

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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.