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Finding the Fourth Proportional to 127,807.60, 191,709.60 and 57,686.80

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Solution

The fourth proportional to 127,807.60, 191,709.60 and 57,686.80 is: 86,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,807.60 : 191,709.60 = 57,686.80 : x
  2. Step 2: Convert to fraction form
    127,807.60/191,709.60 = 57,686.80/x
  3. Step 3: Cross multiply
    127,807.60x = 191,709.60 × 57,686.80
  4. Step 4: Simplify right side
    127,807.60x = 11,059,113,353.28
  5. Step 5: Solve for x
    x = 11,059,113,353.28/127,807.60
  6. Step 6: Final answer
    x = 86,529.39

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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.