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Finding the Fourth Proportional to 234,897.90, 352,345.86 and 85,103.08

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Solution

The fourth proportional to 234,897.90, 352,345.86 and 85,103.08 is: 127,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,897.90 : 352,345.86 = 85,103.08 : x
  2. Step 2: Convert to fraction form
    234,897.90/352,345.86 = 85,103.08/x
  3. Step 3: Cross multiply
    234,897.90x = 352,345.86 × 85,103.08
  4. Step 4: Simplify right side
    234,897.90x = 29,985,717,911.25
  5. Step 5: Solve for x
    x = 29,985,717,911.25/234,897.90
  6. Step 6: Final answer
    x = 127,654.26

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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.