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Finding the Fourth Proportional to 189,036.80, 283,977.60 and 157,932.80

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Solution

The fourth proportional to 189,036.80, 283,977.60 and 157,932.80 is: 237,252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,036.80 : 283,977.60 = 157,932.80 : x
  2. Step 2: Convert to fraction form
    189,036.80/283,977.60 = 157,932.80/x
  3. Step 3: Cross multiply
    189,036.80x = 283,977.60 × 157,932.80
  4. Step 4: Simplify right side
    189,036.80x = 44,849,377,505.28
  5. Step 5: Solve for x
    x = 44,849,377,505.28/189,036.80
  6. Step 6: Final answer
    x = 237,252.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.