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Finding the Fourth Proportional to 127,978.60, 191,966.10 and 57,857.80

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Solution

The fourth proportional to 127,978.60, 191,966.10 and 57,857.80 is: 86,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,978.60 : 191,966.10 = 57,857.80 : x
  2. Step 2: Convert to fraction form
    127,978.60/191,966.10 = 57,857.80/x
  3. Step 3: Cross multiply
    127,978.60x = 191,966.10 × 57,857.80
  4. Step 4: Simplify right side
    127,978.60x = 11,106,736,220.58
  5. Step 5: Solve for x
    x = 11,106,736,220.58/127,978.60
  6. Step 6: Final answer
    x = 86,785.89

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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.