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Finding the Fourth Proportional to 201,465.34, 278,016.30 and 110,821.29

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Solution

The fourth proportional to 201,465.34, 278,016.30 and 110,821.29 is: 152,930.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,465.34 : 278,016.30 = 110,821.29 : x
  2. Step 2: Convert to fraction form
    201,465.34/278,016.30 = 110,821.29/x
  3. Step 3: Cross multiply
    201,465.34x = 278,016.30 × 110,821.29
  4. Step 4: Simplify right side
    201,465.34x = 30,810,124,746.39
  5. Step 5: Solve for x
    x = 30,810,124,746.39/201,465.34
  6. Step 6: Final answer
    x = 152,930.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.