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Finding the Fourth Proportional to 174,281.52, 261,007.56 and 100,254

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Solution

The fourth proportional to 174,281.52, 261,007.56 and 100,254 is: 150,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,281.52 : 261,007.56 = 100,254 : x
  2. Step 2: Convert to fraction form
    174,281.52/261,007.56 = 100,254/x
  3. Step 3: Cross multiply
    174,281.52x = 261,007.56 × 100,254
  4. Step 4: Simplify right side
    174,281.52x = 26,167,051,920.24
  5. Step 5: Solve for x
    x = 26,167,051,920.24/174,281.52
  6. Step 6: Final answer
    x = 150,142.44

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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.