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Finding the Fourth Proportional to 264,975.27, 365,662.29 and 144,113.97

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Solution

The fourth proportional to 264,975.27, 365,662.29 and 144,113.97 is: 198,875.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,975.27 : 365,662.29 = 144,113.97 : x
  2. Step 2: Convert to fraction form
    264,975.27/365,662.29 = 144,113.97/x
  3. Step 3: Cross multiply
    264,975.27x = 365,662.29 × 144,113.97
  4. Step 4: Simplify right side
    264,975.27x = 52,697,044,291.19
  5. Step 5: Solve for x
    x = 52,697,044,291.19/264,975.27
  6. Step 6: Final answer
    x = 198,875.33

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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.