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Finding the Fourth Proportional to 308,089.24, 462,132.42 and 83,449.24

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Solution

The fourth proportional to 308,089.24, 462,132.42 and 83,449.24 is: 125,173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,089.24 : 462,132.42 = 83,449.24 : x
  2. Step 2: Convert to fraction form
    308,089.24/462,132.42 = 83,449.24/x
  3. Step 3: Cross multiply
    308,089.24x = 462,132.42 × 83,449.24
  4. Step 4: Simplify right side
    308,089.24x = 38,564,599,228.36
  5. Step 5: Solve for x
    x = 38,564,599,228.36/308,089.24
  6. Step 6: Final answer
    x = 125,173.47

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1.5x scale

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.