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Finding the Fourth Proportional to 136,194, 187,947.72 and 76,578

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Solution

The fourth proportional to 136,194, 187,947.72 and 76,578 is: 105,677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,194 : 187,947.72 = 76,578 : x
  2. Step 2: Convert to fraction form
    136,194/187,947.72 = 76,578/x
  3. Step 3: Cross multiply
    136,194x = 187,947.72 × 76,578
  4. Step 4: Simplify right side
    136,194x = 14,392,660,502.16
  5. Step 5: Solve for x
    x = 14,392,660,502.16/136,194
  6. Step 6: Final answer
    x = 105,677.64

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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.