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Finding the Fourth Proportional to 145,876.80, 218,815.24 and 46,044.78

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Solution

The fourth proportional to 145,876.80, 218,815.24 and 46,044.78 is: 69,067.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,876.80 : 218,815.24 = 46,044.78 : x
  2. Step 2: Convert to fraction form
    145,876.80/218,815.24 = 46,044.78/x
  3. Step 3: Cross multiply
    145,876.80x = 218,815.24 × 46,044.78
  4. Step 4: Simplify right side
    145,876.80x = 10,075,299,586.45
  5. Step 5: Solve for x
    x = 10,075,299,586.45/145,876.80
  6. Step 6: Final answer
    x = 69,067.18

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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.