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Finding the Fourth Proportional to 175,600, 242,329.71 and 95,029.20

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Solution

The fourth proportional to 175,600, 242,329.71 and 95,029.20 is: 131,141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,600 : 242,329.71 = 95,029.20 : x
  2. Step 2: Convert to fraction form
    175,600/242,329.71 = 95,029.20/x
  3. Step 3: Cross multiply
    175,600x = 242,329.71 × 95,029.20
  4. Step 4: Simplify right side
    175,600x = 23,028,398,477.53
  5. Step 5: Solve for x
    x = 23,028,398,477.53/175,600
  6. Step 6: Final answer
    x = 131,141.22

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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.