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Finding the Fourth Proportional to 308,563.20, 462,877.20 and 98,152.20

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Solution

The fourth proportional to 308,563.20, 462,877.20 and 98,152.20 is: 147,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,563.20 : 462,877.20 = 98,152.20 : x
  2. Step 2: Convert to fraction form
    308,563.20/462,877.20 = 98,152.20/x
  3. Step 3: Cross multiply
    308,563.20x = 462,877.20 × 98,152.20
  4. Step 4: Simplify right side
    308,563.20x = 45,432,415,509.84
  5. Step 5: Solve for x
    x = 45,432,415,509.84/308,563.20
  6. Step 6: Final answer
    x = 147,238.61

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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.