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Finding the Fourth Proportional to 138,055.08, 190,515.06 and 78,439.08

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Solution

The fourth proportional to 138,055.08, 190,515.06 and 78,439.08 is: 108,245.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,055.08 : 190,515.06 = 78,439.08 : x
  2. Step 2: Convert to fraction form
    138,055.08/190,515.06 = 78,439.08/x
  3. Step 3: Cross multiply
    138,055.08x = 190,515.06 × 78,439.08
  4. Step 4: Simplify right side
    138,055.08x = 14,943,826,032.54
  5. Step 5: Solve for x
    x = 14,943,826,032.54/138,055.08
  6. Step 6: Final answer
    x = 108,245.39

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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.