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Finding the Fourth Proportional to 128,862.38, 177,907.85 and 84,228.14

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Solution

The fourth proportional to 128,862.38, 177,907.85 and 84,228.14 is: 116,285.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,862.38 : 177,907.85 = 84,228.14 : x
  2. Step 2: Convert to fraction form
    128,862.38/177,907.85 = 84,228.14/x
  3. Step 3: Cross multiply
    128,862.38x = 177,907.85 × 84,228.14
  4. Step 4: Simplify right side
    128,862.38x = 14,984,845,986.22
  5. Step 5: Solve for x
    x = 14,984,845,986.22/128,862.38
  6. Step 6: Final answer
    x = 116,285.66

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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.