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Finding the Fourth Proportional to 312,204.93, 468,117.72 and 122,437.95

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Solution

The fourth proportional to 312,204.93, 468,117.72 and 122,437.95 is: 183,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,204.93 : 468,117.72 = 122,437.95 : x
  2. Step 2: Convert to fraction form
    312,204.93/468,117.72 = 122,437.95/x
  3. Step 3: Cross multiply
    312,204.93x = 468,117.72 × 122,437.95
  4. Step 4: Simplify right side
    312,204.93x = 57,315,373,995.47
  5. Step 5: Solve for x
    x = 57,315,373,995.47/312,204.93
  6. Step 6: Final answer
    x = 183,582.54

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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.