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Finding the Fourth Proportional to 243,739.98, 365,475.99 and 75,214.32

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Solution

The fourth proportional to 243,739.98, 365,475.99 and 75,214.32 is: 112,780.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,739.98 : 365,475.99 = 75,214.32 : x
  2. Step 2: Convert to fraction form
    243,739.98/365,475.99 = 75,214.32/x
  3. Step 3: Cross multiply
    243,739.98x = 365,475.99 × 75,214.32
  4. Step 4: Simplify right side
    243,739.98x = 27,489,028,064.18
  5. Step 5: Solve for x
    x = 27,489,028,064.18/243,739.98
  6. Step 6: Final answer
    x = 112,780.14

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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.