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Finding the Fourth Proportional to 312,076.32, 468,127.44 and 101,716.08

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Solution

The fourth proportional to 312,076.32, 468,127.44 and 101,716.08 is: 152,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,076.32 : 468,127.44 = 101,716.08 : x
  2. Step 2: Convert to fraction form
    312,076.32/468,127.44 = 101,716.08/x
  3. Step 3: Cross multiply
    312,076.32x = 468,127.44 × 101,716.08
  4. Step 4: Simplify right side
    312,076.32x = 47,616,088,137.24
  5. Step 5: Solve for x
    x = 47,616,088,137.24/312,076.32
  6. Step 6: Final answer
    x = 152,578.34

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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.