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Finding the Fourth Proportional to 312,323.42, 468,494.70 and 107,155.20

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Solution

The fourth proportional to 312,323.42, 468,494.70 and 107,155.20 is: 160,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,323.42 : 468,494.70 = 107,155.20 : x
  2. Step 2: Convert to fraction form
    312,323.42/468,494.70 = 107,155.20/x
  3. Step 3: Cross multiply
    312,323.42x = 468,494.70 × 107,155.20
  4. Step 4: Simplify right side
    312,323.42x = 50,201,641,818.45
  5. Step 5: Solve for x
    x = 50,201,641,818.45/312,323.42
  6. Step 6: Final answer
    x = 160,736.08

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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.