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Finding the Fourth Proportional to 150,442.90, 225,663.95 and 38,122.81

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Solution

The fourth proportional to 150,442.90, 225,663.95 and 38,122.81 is: 57,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,442.90 : 225,663.95 = 38,122.81 : x
  2. Step 2: Convert to fraction form
    150,442.90/225,663.95 = 38,122.81/x
  3. Step 3: Cross multiply
    150,442.90x = 225,663.95 × 38,122.81
  4. Step 4: Simplify right side
    150,442.90x = 8,602,943,420.85
  5. Step 5: Solve for x
    x = 8,602,943,420.85/150,442.90
  6. Step 6: Final answer
    x = 57,184.11

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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.