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Finding the Fourth Proportional to 127,902.60, 191,852.10 and 57,781.80

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Solution

The fourth proportional to 127,902.60, 191,852.10 and 57,781.80 is: 86,671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,902.60 : 191,852.10 = 57,781.80 : x
  2. Step 2: Convert to fraction form
    127,902.60/191,852.10 = 57,781.80/x
  3. Step 3: Cross multiply
    127,902.60x = 191,852.10 × 57,781.80
  4. Step 4: Simplify right side
    127,902.60x = 11,085,559,671.78
  5. Step 5: Solve for x
    x = 11,085,559,671.78/127,902.60
  6. Step 6: Final answer
    x = 86,671.89

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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.