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Finding the Fourth Proportional to 109,713.30, 164,569.95 and 109,713.30

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Solution

The fourth proportional to 109,713.30, 164,569.95 and 109,713.30 is: 164,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,713.30 : 164,569.95 = 109,713.30 : x
  2. Step 2: Convert to fraction form
    109,713.30/164,569.95 = 109,713.30/x
  3. Step 3: Cross multiply
    109,713.30x = 164,569.95 × 109,713.30
  4. Step 4: Simplify right side
    109,713.30x = 18,055,512,295.34
  5. Step 5: Solve for x
    x = 18,055,512,295.34/109,713.30
  6. Step 6: Final answer
    x = 164,569.95

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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.