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Finding the Fourth Proportional to 312,022.94, 468,104.87 and 98,803.80

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Solution

The fourth proportional to 312,022.94, 468,104.87 and 98,803.80 is: 148,228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,022.94 : 468,104.87 = 98,803.80 : x
  2. Step 2: Convert to fraction form
    312,022.94/468,104.87 = 98,803.80/x
  3. Step 3: Cross multiply
    312,022.94x = 468,104.87 × 98,803.80
  4. Step 4: Simplify right side
    312,022.94x = 46,250,539,460.49
  5. Step 5: Solve for x
    x = 46,250,539,460.49/312,022.94
  6. Step 6: Final answer
    x = 148,228.01

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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.