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Finding the Fourth Proportional to 201,838.19, 302,471.84 and 111,920.51

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Solution

The fourth proportional to 201,838.19, 302,471.84 and 111,920.51 is: 167,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,838.19 : 302,471.84 = 111,920.51 : x
  2. Step 2: Convert to fraction form
    201,838.19/302,471.84 = 111,920.51/x
  3. Step 3: Cross multiply
    201,838.19x = 302,471.84 × 111,920.51
  4. Step 4: Simplify right side
    201,838.19x = 33,852,801,298.46
  5. Step 5: Solve for x
    x = 33,852,801,298.46/201,838.19
  6. Step 6: Final answer
    x = 167,722.48

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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.