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Finding the Fourth Proportional to 89,103.40, 133,655.10 and 83,919.40

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Solution

The fourth proportional to 89,103.40, 133,655.10 and 83,919.40 is: 125,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,103.40 : 133,655.10 = 83,919.40 : x
  2. Step 2: Convert to fraction form
    89,103.40/133,655.10 = 83,919.40/x
  3. Step 3: Cross multiply
    89,103.40x = 133,655.10 × 83,919.40
  4. Step 4: Simplify right side
    89,103.40x = 11,216,255,798.94
  5. Step 5: Solve for x
    x = 11,216,255,798.94/89,103.40
  6. Step 6: Final answer
    x = 125,879.10

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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.