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Finding the Fourth Proportional to 181,456.56, 250,329.24 and 105,971.76

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Solution

The fourth proportional to 181,456.56, 250,329.24 and 105,971.76 is: 146,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,456.56 : 250,329.24 = 105,971.76 : x
  2. Step 2: Convert to fraction form
    181,456.56/250,329.24 = 105,971.76/x
  3. Step 3: Cross multiply
    181,456.56x = 250,329.24 × 105,971.76
  4. Step 4: Simplify right side
    181,456.56x = 26,527,830,142.26
  5. Step 5: Solve for x
    x = 26,527,830,142.26/181,456.56
  6. Step 6: Final answer
    x = 146,193.83

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1.5x scale

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.