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Finding the Fourth Proportional to 174,685.74, 262,028.66 and 54,752

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Solution

The fourth proportional to 174,685.74, 262,028.66 and 54,752 is: 82,128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,685.74 : 262,028.66 = 54,752 : x
  2. Step 2: Convert to fraction form
    174,685.74/262,028.66 = 54,752/x
  3. Step 3: Cross multiply
    174,685.74x = 262,028.66 × 54,752
  4. Step 4: Simplify right side
    174,685.74x = 14,346,593,192.32
  5. Step 5: Solve for x
    x = 14,346,593,192.32/174,685.74
  6. Step 6: Final answer
    x = 82,128.02

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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.