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Finding the Fourth Proportional to 109,653.45, 164,480.18 and 109,653.45

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Solution

The fourth proportional to 109,653.45, 164,480.18 and 109,653.45 is: 164,480.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,653.45 : 164,480.18 = 109,653.45 : x
  2. Step 2: Convert to fraction form
    109,653.45/164,480.18 = 109,653.45/x
  3. Step 3: Cross multiply
    109,653.45x = 164,480.18 × 109,653.45
  4. Step 4: Simplify right side
    109,653.45x = 18,035,818,645.35
  5. Step 5: Solve for x
    x = 18,035,818,645.35/109,653.45
  6. Step 6: Final answer
    x = 164,480.18

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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.