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Finding the Fourth Proportional to 86,543.60, 121,336 and 86,543.60

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Solution

The fourth proportional to 86,543.60, 121,336 and 86,543.60 is: 121,336

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,543.60 : 121,336 = 86,543.60 : x
  2. Step 2: Convert to fraction form
    86,543.60/121,336 = 86,543.60/x
  3. Step 3: Cross multiply
    86,543.60x = 121,336 × 86,543.60
  4. Step 4: Simplify right side
    86,543.60x = 10,500,854,249.60
  5. Step 5: Solve for x
    x = 10,500,854,249.60/86,543.60
  6. Step 6: Final answer
    x = 121,336

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.