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Finding the Fourth Proportional to 496,098.19, 744,151.39 and 159,141.64

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Solution

The fourth proportional to 496,098.19, 744,151.39 and 159,141.64 is: 238,713.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,098.19 : 744,151.39 = 159,141.64 : x
  2. Step 2: Convert to fraction form
    496,098.19/744,151.39 = 159,141.64/x
  3. Step 3: Cross multiply
    496,098.19x = 744,151.39 × 159,141.64
  4. Step 4: Simplify right side
    496,098.19x = 118,425,468,096.41
  5. Step 5: Solve for x
    x = 118,425,468,096.41/496,098.19
  6. Step 6: Final answer
    x = 238,713.77

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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.