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Finding the Fourth Proportional to 209,569.69, 314,384.10 and 67,367.30

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Solution

The fourth proportional to 209,569.69, 314,384.10 and 67,367.30 is: 101,060.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,569.69 : 314,384.10 = 67,367.30 : x
  2. Step 2: Convert to fraction form
    209,569.69/314,384.10 = 67,367.30/x
  3. Step 3: Cross multiply
    209,569.69x = 314,384.10 × 67,367.30
  4. Step 4: Simplify right side
    209,569.69x = 21,179,208,513.26
  5. Step 5: Solve for x
    x = 21,179,208,513.26/209,569.69
  6. Step 6: Final answer
    x = 101,060.46

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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.