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Finding the Fourth Proportional to 186,060.24, 256,761.36 and 101,178

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Solution

The fourth proportional to 186,060.24, 256,761.36 and 101,178 is: 139,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,060.24 : 256,761.36 = 101,178 : x
  2. Step 2: Convert to fraction form
    186,060.24/256,761.36 = 101,178/x
  3. Step 3: Cross multiply
    186,060.24x = 256,761.36 × 101,178
  4. Step 4: Simplify right side
    186,060.24x = 25,978,600,882.08
  5. Step 5: Solve for x
    x = 25,978,600,882.08/186,060.24
  6. Step 6: Final answer
    x = 139,624.68

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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.