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Finding the Fourth Proportional to 201,301.92, 301,982.04 and 74,931.66

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Solution

The fourth proportional to 201,301.92, 301,982.04 and 74,931.66 is: 112,408.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,301.92 : 301,982.04 = 74,931.66 : x
  2. Step 2: Convert to fraction form
    201,301.92/301,982.04 = 74,931.66/x
  3. Step 3: Cross multiply
    201,301.92x = 301,982.04 × 74,931.66
  4. Step 4: Simplify right side
    201,301.92x = 22,628,015,547.39
  5. Step 5: Solve for x
    x = 22,628,015,547.39/201,301.92
  6. Step 6: Final answer
    x = 112,408.34

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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.