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Finding the Fourth Proportional to 308,616.06, 462,877.32 and 83,994

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Solution

The fourth proportional to 308,616.06, 462,877.32 and 83,994 is: 125,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,616.06 : 462,877.32 = 83,994 : x
  2. Step 2: Convert to fraction form
    308,616.06/462,877.32 = 83,994/x
  3. Step 3: Cross multiply
    308,616.06x = 462,877.32 × 83,994
  4. Step 4: Simplify right side
    308,616.06x = 38,878,917,301.10
  5. Step 5: Solve for x
    x = 38,878,917,301.10/308,616.06
  6. Step 6: Final answer
    x = 125,978.27

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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.