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Finding the Fourth Proportional to 104,494.90, 156,742.35 and 75,189.10

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Solution

The fourth proportional to 104,494.90, 156,742.35 and 75,189.10 is: 112,783.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,494.90 : 156,742.35 = 75,189.10 : x
  2. Step 2: Convert to fraction form
    104,494.90/156,742.35 = 75,189.10/x
  3. Step 3: Cross multiply
    104,494.90x = 156,742.35 × 75,189.10
  4. Step 4: Simplify right side
    104,494.90x = 11,785,316,228.39
  5. Step 5: Solve for x
    x = 11,785,316,228.39/104,494.90
  6. Step 6: Final answer
    x = 112,783.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.