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Finding the Fourth Proportional to 130,288.14, 179,735.31 and 75,840.30

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Solution

The fourth proportional to 130,288.14, 179,735.31 and 75,840.30 is: 104,623.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,288.14 : 179,735.31 = 75,840.30 : x
  2. Step 2: Convert to fraction form
    130,288.14/179,735.31 = 75,840.30/x
  3. Step 3: Cross multiply
    130,288.14x = 179,735.31 × 75,840.30
  4. Step 4: Simplify right side
    130,288.14x = 13,631,179,830.99
  5. Step 5: Solve for x
    x = 13,631,179,830.99/130,288.14
  6. Step 6: Final answer
    x = 104,623.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.