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Finding the Fourth Proportional to 84,502.92, 127,347.54 and 76,077.84

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Solution

The fourth proportional to 84,502.92, 127,347.54 and 76,077.84 is: 114,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,502.92 : 127,347.54 = 76,077.84 : x
  2. Step 2: Convert to fraction form
    84,502.92/127,347.54 = 76,077.84/x
  3. Step 3: Cross multiply
    84,502.92x = 127,347.54 × 76,077.84
  4. Step 4: Simplify right side
    84,502.92x = 9,688,325,772.51
  5. Step 5: Solve for x
    x = 9,688,325,772.51/84,502.92
  6. Step 6: Final answer
    x = 114,650.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.