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Finding the Fourth Proportional to 161,442.34, 242,200.37 and 49,138.47

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Solution

The fourth proportional to 161,442.34, 242,200.37 and 49,138.47 is: 73,718.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,442.34 : 242,200.37 = 49,138.47 : x
  2. Step 2: Convert to fraction form
    161,442.34/242,200.37 = 49,138.47/x
  3. Step 3: Cross multiply
    161,442.34x = 242,200.37 × 49,138.47
  4. Step 4: Simplify right side
    161,442.34x = 11,901,355,615.23
  5. Step 5: Solve for x
    x = 11,901,355,615.23/161,442.34
  6. Step 6: Final answer
    x = 73,718.92

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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.