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Finding the Fourth Proportional to 149,678.80, 206,592.24 and 86,053.60

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Solution

The fourth proportional to 149,678.80, 206,592.24 and 86,053.60 is: 118,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,678.80 : 206,592.24 = 86,053.60 : x
  2. Step 2: Convert to fraction form
    149,678.80/206,592.24 = 86,053.60/x
  3. Step 3: Cross multiply
    149,678.80x = 206,592.24 × 86,053.60
  4. Step 4: Simplify right side
    149,678.80x = 17,778,005,984.06
  5. Step 5: Solve for x
    x = 17,778,005,984.06/149,678.80
  6. Step 6: Final answer
    x = 118,774.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.