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Finding the Fourth Proportional to 188,466.32, 260,144.10 and 120,665.90

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Solution

The fourth proportional to 188,466.32, 260,144.10 and 120,665.90 is: 166,557.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,466.32 : 260,144.10 = 120,665.90 : x
  2. Step 2: Convert to fraction form
    188,466.32/260,144.10 = 120,665.90/x
  3. Step 3: Cross multiply
    188,466.32x = 260,144.10 × 120,665.90
  4. Step 4: Simplify right side
    188,466.32x = 31,390,520,655.47
  5. Step 5: Solve for x
    x = 31,390,520,655.47/188,466.32
  6. Step 6: Final answer
    x = 166,557.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.