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Finding the Fourth Proportional to 96,166.40, 144,249.60 and 86,543.60

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Solution

The fourth proportional to 96,166.40, 144,249.60 and 86,543.60 is: 129,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,166.40 : 144,249.60 = 86,543.60 : x
  2. Step 2: Convert to fraction form
    96,166.40/144,249.60 = 86,543.60/x
  3. Step 3: Cross multiply
    96,166.40x = 144,249.60 × 86,543.60
  4. Step 4: Simplify right side
    96,166.40x = 12,483,879,682.56
  5. Step 5: Solve for x
    x = 12,483,879,682.56/96,166.40
  6. Step 6: Final answer
    x = 129,815.40

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1.5x scale

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.