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Finding the Fourth Proportional to 255,808.68, 383,768.37 and 98,037.24

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Solution

The fourth proportional to 255,808.68, 383,768.37 and 98,037.24 is: 147,077.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,808.68 : 383,768.37 = 98,037.24 : x
  2. Step 2: Convert to fraction form
    255,808.68/383,768.37 = 98,037.24/x
  3. Step 3: Cross multiply
    255,808.68x = 383,768.37 × 98,037.24
  4. Step 4: Simplify right side
    255,808.68x = 37,623,591,794.10
  5. Step 5: Solve for x
    x = 37,623,591,794.10/255,808.68
  6. Step 6: Final answer
    x = 147,077.07

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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.