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Finding the Fourth Proportional to 153,930.20, 214,977.40 and 153,930.20

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Solution

The fourth proportional to 153,930.20, 214,977.40 and 153,930.20 is: 214,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,930.20 : 214,977.40 = 153,930.20 : x
  2. Step 2: Convert to fraction form
    153,930.20/214,977.40 = 153,930.20/x
  3. Step 3: Cross multiply
    153,930.20x = 214,977.40 × 153,930.20
  4. Step 4: Simplify right side
    153,930.20x = 33,091,514,177.48
  5. Step 5: Solve for x
    x = 33,091,514,177.48/153,930.20
  6. Step 6: Final answer
    x = 214,977.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.