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Finding the Fourth Proportional to 138,158.54, 207,237.80 and 38,318.73

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Solution

The fourth proportional to 138,158.54, 207,237.80 and 38,318.73 is: 57,478.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,158.54 : 207,237.80 = 38,318.73 : x
  2. Step 2: Convert to fraction form
    138,158.54/207,237.80 = 38,318.73/x
  3. Step 3: Cross multiply
    138,158.54x = 207,237.80 × 38,318.73
  4. Step 4: Simplify right side
    138,158.54x = 7,941,089,303.99
  5. Step 5: Solve for x
    x = 7,941,089,303.99/138,158.54
  6. Step 6: Final answer
    x = 57,478.09

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1.5x scale

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.