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Finding the Fourth Proportional to 172,644.80, 258,948.63 and 46,297.62

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Solution

The fourth proportional to 172,644.80, 258,948.63 and 46,297.62 is: 69,441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,644.80 : 258,948.63 = 46,297.62 : x
  2. Step 2: Convert to fraction form
    172,644.80/258,948.63 = 46,297.62/x
  3. Step 3: Cross multiply
    172,644.80x = 258,948.63 × 46,297.62
  4. Step 4: Simplify right side
    172,644.80x = 11,988,705,271.26
  5. Step 5: Solve for x
    x = 11,988,705,271.26/172,644.80
  6. Step 6: Final answer
    x = 69,441.45

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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.