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Finding the Fourth Proportional to 128,858.63, 177,902.66 and 84,224.39

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Solution

The fourth proportional to 128,858.63, 177,902.66 and 84,224.39 is: 116,280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,858.63 : 177,902.66 = 84,224.39 : x
  2. Step 2: Convert to fraction form
    128,858.63/177,902.66 = 84,224.39/x
  3. Step 3: Cross multiply
    128,858.63x = 177,902.66 × 84,224.39
  4. Step 4: Simplify right side
    128,858.63x = 14,983,742,338.93
  5. Step 5: Solve for x
    x = 14,983,742,338.93/128,858.63
  6. Step 6: Final answer
    x = 116,280.48

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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.