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Finding the Fourth Proportional to 333,649.96, 500,405.82 and 123,144.04

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Solution

The fourth proportional to 333,649.96, 500,405.82 and 123,144.04 is: 184,690.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,649.96 : 500,405.82 = 123,144.04 : x
  2. Step 2: Convert to fraction form
    333,649.96/500,405.82 = 123,144.04/x
  3. Step 3: Cross multiply
    333,649.96x = 500,405.82 × 123,144.04
  4. Step 4: Simplify right side
    333,649.96x = 61,621,994,314.31
  5. Step 5: Solve for x
    x = 61,621,994,314.31/333,649.96
  6. Step 6: Final answer
    x = 184,690.55

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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.