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Finding the Fourth Proportional to 312,193.74, 468,003.56 and 112,465.28

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Solution

The fourth proportional to 312,193.74, 468,003.56 and 112,465.28 is: 168,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,193.74 : 468,003.56 = 112,465.28 : x
  2. Step 2: Convert to fraction form
    312,193.74/468,003.56 = 112,465.28/x
  3. Step 3: Cross multiply
    312,193.74x = 468,003.56 × 112,465.28
  4. Step 4: Simplify right side
    312,193.74x = 52,634,151,697.56
  5. Step 5: Solve for x
    x = 52,634,151,697.56/312,193.74
  6. Step 6: Final answer
    x = 168,594.51

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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.