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Finding the Fourth Proportional to 146,118.98, 219,176.04 and 46,278.98

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Solution

The fourth proportional to 146,118.98, 219,176.04 and 46,278.98 is: 69,417.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,118.98 : 219,176.04 = 46,278.98 : x
  2. Step 2: Convert to fraction form
    146,118.98/219,176.04 = 46,278.98/x
  3. Step 3: Cross multiply
    146,118.98x = 219,176.04 × 46,278.98
  4. Step 4: Simplify right side
    146,118.98x = 10,143,243,571.64
  5. Step 5: Solve for x
    x = 10,143,243,571.64/146,118.98
  6. Step 6: Final answer
    x = 69,417.70

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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.