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Finding the Fourth Proportional to 139,093.08, 191,928.24 and 77,838.97

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Solution

The fourth proportional to 139,093.08, 191,928.24 and 77,838.97 is: 107,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,093.08 : 191,928.24 = 77,838.97 : x
  2. Step 2: Convert to fraction form
    139,093.08/191,928.24 = 77,838.97/x
  3. Step 3: Cross multiply
    139,093.08x = 191,928.24 × 77,838.97
  4. Step 4: Simplify right side
    139,093.08x = 14,939,495,555.87
  5. Step 5: Solve for x
    x = 14,939,495,555.87/139,093.08
  6. Step 6: Final answer
    x = 107,406.47

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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.