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Finding the Fourth Proportional to 174,878.92, 262,320.54 and 50,221

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Solution

The fourth proportional to 174,878.92, 262,320.54 and 50,221 is: 75,332.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,878.92 : 262,320.54 = 50,221 : x
  2. Step 2: Convert to fraction form
    174,878.92/262,320.54 = 50,221/x
  3. Step 3: Cross multiply
    174,878.92x = 262,320.54 × 50,221
  4. Step 4: Simplify right side
    174,878.92x = 13,173,999,839.34
  5. Step 5: Solve for x
    x = 13,173,999,839.34/174,878.92
  6. Step 6: Final answer
    x = 75,332.12

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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.