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Finding the Fourth Proportional to 157,006, 235,451.40 and 51,793.84

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Solution

The fourth proportional to 157,006, 235,451.40 and 51,793.84 is: 77,671.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,006 : 235,451.40 = 51,793.84 : x
  2. Step 2: Convert to fraction form
    157,006/235,451.40 = 51,793.84/x
  3. Step 3: Cross multiply
    157,006x = 235,451.40 × 51,793.84
  4. Step 4: Simplify right side
    157,006x = 12,194,932,139.38
  5. Step 5: Solve for x
    x = 12,194,932,139.38/157,006
  6. Step 6: Final answer
    x = 77,671.76

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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.