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Finding the Fourth Proportional to 138,594.84, 191,267.39 and 78,164.22

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Solution

The fourth proportional to 138,594.84, 191,267.39 and 78,164.22 is: 107,870.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,594.84 : 191,267.39 = 78,164.22 : x
  2. Step 2: Convert to fraction form
    138,594.84/191,267.39 = 78,164.22/x
  3. Step 3: Cross multiply
    138,594.84x = 191,267.39 × 78,164.22
  4. Step 4: Simplify right side
    138,594.84x = 14,950,265,959.96
  5. Step 5: Solve for x
    x = 14,950,265,959.96/138,594.84
  6. Step 6: Final answer
    x = 107,870.29

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1.5x scale

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.