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Finding the Fourth Proportional to 101,180.34, 151,942.74 and 96,948.50

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Solution

The fourth proportional to 101,180.34, 151,942.74 and 96,948.50 is: 145,587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,180.34 : 151,942.74 = 96,948.50 : x
  2. Step 2: Convert to fraction form
    101,180.34/151,942.74 = 96,948.50/x
  3. Step 3: Cross multiply
    101,180.34x = 151,942.74 × 96,948.50
  4. Step 4: Simplify right side
    101,180.34x = 14,730,619,605.62
  5. Step 5: Solve for x
    x = 14,730,619,605.62/101,180.34
  6. Step 6: Final answer
    x = 145,587.77

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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.