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Finding the Fourth Proportional to 128,978.48, 177,998.28 and 85,884.08

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Solution

The fourth proportional to 128,978.48, 177,998.28 and 85,884.08 is: 118,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,978.48 : 177,998.28 = 85,884.08 : x
  2. Step 2: Convert to fraction form
    128,978.48/177,998.28 = 85,884.08/x
  3. Step 3: Cross multiply
    128,978.48x = 177,998.28 × 85,884.08
  4. Step 4: Simplify right side
    128,978.48x = 15,287,218,519.38
  5. Step 5: Solve for x
    x = 15,287,218,519.38/128,978.48
  6. Step 6: Final answer
    x = 118,525.34

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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.