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Finding the Fourth Proportional to 150,421.60, 225,632.70 and 38,101.84

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Solution

The fourth proportional to 150,421.60, 225,632.70 and 38,101.84 is: 57,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,421.60 : 225,632.70 = 38,101.84 : x
  2. Step 2: Convert to fraction form
    150,421.60/225,632.70 = 38,101.84/x
  3. Step 3: Cross multiply
    150,421.60x = 225,632.70 × 38,101.84
  4. Step 4: Simplify right side
    150,421.60x = 8,597,021,034.17
  5. Step 5: Solve for x
    x = 8,597,021,034.17/150,421.60
  6. Step 6: Final answer
    x = 57,152.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.