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Finding the Fourth Proportional to 243,731.84, 365,596.74 and 66,238.34

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Solution

The fourth proportional to 243,731.84, 365,596.74 and 66,238.34 is: 99,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,731.84 : 365,596.74 = 66,238.34 : x
  2. Step 2: Convert to fraction form
    243,731.84/365,596.74 = 66,238.34/x
  3. Step 3: Cross multiply
    243,731.84x = 365,596.74 × 66,238.34
  4. Step 4: Simplify right side
    243,731.84x = 24,216,522,081.00
  5. Step 5: Solve for x
    x = 24,216,522,081.00/243,731.84
  6. Step 6: Final answer
    x = 99,357.24

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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.