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Finding the Fourth Proportional to 134,673.84, 185,865.84 and 78,087.24

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Solution

The fourth proportional to 134,673.84, 185,865.84 and 78,087.24 is: 107,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,673.84 : 185,865.84 = 78,087.24 : x
  2. Step 2: Convert to fraction form
    134,673.84/185,865.84 = 78,087.24/x
  3. Step 3: Cross multiply
    134,673.84x = 185,865.84 × 78,087.24
  4. Step 4: Simplify right side
    134,673.84x = 14,513,750,455.88
  5. Step 5: Solve for x
    x = 14,513,750,455.88/134,673.84
  6. Step 6: Final answer
    x = 107,769.63

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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.