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Finding the Fourth Proportional to 166,707.38, 230,054.32 and 90,224.75

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Solution

The fourth proportional to 166,707.38, 230,054.32 and 90,224.75 is: 124,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,707.38 : 230,054.32 = 90,224.75 : x
  2. Step 2: Convert to fraction form
    166,707.38/230,054.32 = 90,224.75/x
  3. Step 3: Cross multiply
    166,707.38x = 230,054.32 × 90,224.75
  4. Step 4: Simplify right side
    166,707.38x = 20,756,592,132.59
  5. Step 5: Solve for x
    x = 20,756,592,132.59/166,707.38
  6. Step 6: Final answer
    x = 124,509.14

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Why These Related Problems?

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