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Finding the Fourth Proportional to 184,016.32, 275,956.64 and 65,656

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Solution

The fourth proportional to 184,016.32, 275,956.64 and 65,656 is: 98,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,016.32 : 275,956.64 = 65,656 : x
  2. Step 2: Convert to fraction form
    184,016.32/275,956.64 = 65,656/x
  3. Step 3: Cross multiply
    184,016.32x = 275,956.64 × 65,656
  4. Step 4: Simplify right side
    184,016.32x = 18,118,209,155.84
  5. Step 5: Solve for x
    x = 18,118,209,155.84/184,016.32
  6. Step 6: Final answer
    x = 98,459.80

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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.