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Finding the Fourth Proportional to 195,001.76, 292,308.86 and 135,712.86

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Solution

The fourth proportional to 195,001.76, 292,308.86 and 135,712.86 is: 203,434.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,001.76 : 292,308.86 = 135,712.86 : x
  2. Step 2: Convert to fraction form
    195,001.76/292,308.86 = 135,712.86/x
  3. Step 3: Cross multiply
    195,001.76x = 292,308.86 × 135,712.86
  4. Step 4: Simplify right side
    195,001.76x = 39,670,071,393.94
  5. Step 5: Solve for x
    x = 39,670,071,393.94/195,001.76
  6. Step 6: Final answer
    x = 203,434.43

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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.