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Finding the Fourth Proportional to 154,201.44, 212,706 and 97,514.40

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Solution

The fourth proportional to 154,201.44, 212,706 and 97,514.40 is: 134,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,201.44 : 212,706 = 97,514.40 : x
  2. Step 2: Convert to fraction form
    154,201.44/212,706 = 97,514.40/x
  3. Step 3: Cross multiply
    154,201.44x = 212,706 × 97,514.40
  4. Step 4: Simplify right side
    154,201.44x = 20,741,897,966.40
  5. Step 5: Solve for x
    x = 20,741,897,966.40/154,201.44
  6. Step 6: Final answer
    x = 134,511.70

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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.