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Finding the Fourth Proportional to 263,776, 364,010.88 and 144,544

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Solution

The fourth proportional to 263,776, 364,010.88 and 144,544 is: 199,470.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,776 : 364,010.88 = 144,544 : x
  2. Step 2: Convert to fraction form
    263,776/364,010.88 = 144,544/x
  3. Step 3: Cross multiply
    263,776x = 364,010.88 × 144,544
  4. Step 4: Simplify right side
    263,776x = 52,615,588,638.72
  5. Step 5: Solve for x
    x = 52,615,588,638.72/263,776
  6. Step 6: Final answer
    x = 199,470.72

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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.