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Finding the Fourth Proportional to 312,010.08, 468,054 and 101,591.52

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Solution

The fourth proportional to 312,010.08, 468,054 and 101,591.52 is: 152,399.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,010.08 : 468,054 = 101,591.52 : x
  2. Step 2: Convert to fraction form
    312,010.08/468,054 = 101,591.52/x
  3. Step 3: Cross multiply
    312,010.08x = 468,054 × 101,591.52
  4. Step 4: Simplify right side
    312,010.08x = 47,550,317,302.08
  5. Step 5: Solve for x
    x = 47,550,317,302.08/312,010.08
  6. Step 6: Final answer
    x = 152,399.94

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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.