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Finding the Fourth Proportional to 157,092.30, 235,638.45 and 140,033.70

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Solution

The fourth proportional to 157,092.30, 235,638.45 and 140,033.70 is: 210,050.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,092.30 : 235,638.45 = 140,033.70 : x
  2. Step 2: Convert to fraction form
    157,092.30/235,638.45 = 140,033.70/x
  3. Step 3: Cross multiply
    157,092.30x = 235,638.45 × 140,033.70
  4. Step 4: Simplify right side
    157,092.30x = 32,997,324,015.77
  5. Step 5: Solve for x
    x = 32,997,324,015.77/157,092.30
  6. Step 6: Final answer
    x = 210,050.55

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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.