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Finding the Fourth Proportional to 146,291.70, 219,464.81 and 46,424.98

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Solution

The fourth proportional to 146,291.70, 219,464.81 and 46,424.98 is: 69,646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,291.70 : 219,464.81 = 46,424.98 : x
  2. Step 2: Convert to fraction form
    146,291.70/219,464.81 = 46,424.98/x
  3. Step 3: Cross multiply
    146,291.70x = 219,464.81 × 46,424.98
  4. Step 4: Simplify right side
    146,291.70x = 10,188,649,631.25
  5. Step 5: Solve for x
    x = 10,188,649,631.25/146,291.70
  6. Step 6: Final answer
    x = 69,646.12

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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.