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Finding the Fourth Proportional to 264,549.84, 365,081.46 and 143,693.49

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Solution

The fourth proportional to 264,549.84, 365,081.46 and 143,693.49 is: 198,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,549.84 : 365,081.46 = 143,693.49 : x
  2. Step 2: Convert to fraction form
    264,549.84/365,081.46 = 143,693.49/x
  3. Step 3: Cross multiply
    264,549.84x = 365,081.46 × 143,693.49
  4. Step 4: Simplify right side
    264,549.84x = 52,459,829,121.70
  5. Step 5: Solve for x
    x = 52,459,829,121.70/264,549.84
  6. Step 6: Final answer
    x = 198,298.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.