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Finding the Fourth Proportional to 135,411.54, 186,867.63 and 78,050.47

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Solution

The fourth proportional to 135,411.54, 186,867.63 and 78,050.47 is: 107,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,411.54 : 186,867.63 = 78,050.47 : x
  2. Step 2: Convert to fraction form
    135,411.54/186,867.63 = 78,050.47/x
  3. Step 3: Cross multiply
    135,411.54x = 186,867.63 × 78,050.47
  4. Step 4: Simplify right side
    135,411.54x = 14,585,106,544.41
  5. Step 5: Solve for x
    x = 14,585,106,544.41/135,411.54
  6. Step 6: Final answer
    x = 107,709.48

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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.