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Finding the Fourth Proportional to 513,235.76, 769,804.14 and 158,154.44

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Solution

The fourth proportional to 513,235.76, 769,804.14 and 158,154.44 is: 237,216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,235.76 : 769,804.14 = 158,154.44 : x
  2. Step 2: Convert to fraction form
    513,235.76/769,804.14 = 158,154.44/x
  3. Step 3: Cross multiply
    513,235.76x = 769,804.14 × 158,154.44
  4. Step 4: Simplify right side
    513,235.76x = 121,747,942,671.38
  5. Step 5: Solve for x
    x = 121,747,942,671.38/513,235.76
  6. Step 6: Final answer
    x = 237,216.41

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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.