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Finding the Fourth Proportional to 312,158.40, 468,190.08 and 101,796

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Solution

The fourth proportional to 312,158.40, 468,190.08 and 101,796 is: 152,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,158.40 : 468,190.08 = 101,796 : x
  2. Step 2: Convert to fraction form
    312,158.40/468,190.08 = 101,796/x
  3. Step 3: Cross multiply
    312,158.40x = 468,190.08 × 101,796
  4. Step 4: Simplify right side
    312,158.40x = 47,659,877,383.68
  5. Step 5: Solve for x
    x = 47,659,877,383.68/312,158.40
  6. Step 6: Final answer
    x = 152,678.50

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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.