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Finding the Fourth Proportional to 186,509.76, 279,660.96 and 75,572.16

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Solution

The fourth proportional to 186,509.76, 279,660.96 and 75,572.16 is: 113,316.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,509.76 : 279,660.96 = 75,572.16 : x
  2. Step 2: Convert to fraction form
    186,509.76/279,660.96 = 75,572.16/x
  3. Step 3: Cross multiply
    186,509.76x = 279,660.96 × 75,572.16
  4. Step 4: Simplify right side
    186,509.76x = 21,134,582,814.87
  5. Step 5: Solve for x
    x = 21,134,582,814.87/186,509.76
  6. Step 6: Final answer
    x = 113,316.23

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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.