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Finding the Fourth Proportional to 264,557.84, 365,093.76 and 143,701.48

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Solution

The fourth proportional to 264,557.84, 365,093.76 and 143,701.48 is: 198,310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,557.84 : 365,093.76 = 143,701.48 : x
  2. Step 2: Convert to fraction form
    264,557.84/365,093.76 = 143,701.48/x
  3. Step 3: Cross multiply
    264,557.84x = 365,093.76 × 143,701.48
  4. Step 4: Simplify right side
    264,557.84x = 52,464,513,650.76
  5. Step 5: Solve for x
    x = 52,464,513,650.76/264,557.84
  6. Step 6: Final answer
    x = 198,310.18

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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.