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Finding the Fourth Proportional to 175,725, 242,544.24 and 100,317.24

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Solution

The fourth proportional to 175,725, 242,544.24 and 100,317.24 is: 138,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,725 : 242,544.24 = 100,317.24 : x
  2. Step 2: Convert to fraction form
    175,725/242,544.24 = 100,317.24/x
  3. Step 3: Cross multiply
    175,725x = 242,544.24 × 100,317.24
  4. Step 4: Simplify right side
    175,725x = 24,331,368,734.70
  5. Step 5: Solve for x
    x = 24,331,368,734.70/175,725
  6. Step 6: Final answer
    x = 138,462.76

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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.