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Finding the Fourth Proportional to 243,887.84, 365,838.23 and 66,398.48

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Solution

The fourth proportional to 243,887.84, 365,838.23 and 66,398.48 is: 99,599.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,887.84 : 365,838.23 = 66,398.48 : x
  2. Step 2: Convert to fraction form
    243,887.84/365,838.23 = 66,398.48/x
  3. Step 3: Cross multiply
    243,887.84x = 365,838.23 × 66,398.48
  4. Step 4: Simplify right side
    243,887.84x = 24,291,100,236.71
  5. Step 5: Solve for x
    x = 24,291,100,236.71/243,887.84
  6. Step 6: Final answer
    x = 99,599.47

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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.