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Finding the Fourth Proportional to 138,751.32, 191,482.30 and 78,324.12

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Solution

The fourth proportional to 138,751.32, 191,482.30 and 78,324.12 is: 108,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,751.32 : 191,482.30 = 78,324.12 : x
  2. Step 2: Convert to fraction form
    138,751.32/191,482.30 = 78,324.12/x
  3. Step 3: Cross multiply
    138,751.32x = 191,482.30 × 78,324.12
  4. Step 4: Simplify right side
    138,751.32x = 14,997,682,643.08
  5. Step 5: Solve for x
    x = 14,997,682,643.08/138,751.32
  6. Step 6: Final answer
    x = 108,090.38

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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.