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Finding the Fourth Proportional to 184,970.54, 277,468.34 and 65,012.90

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Solution

The fourth proportional to 184,970.54, 277,468.34 and 65,012.90 is: 97,523.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,970.54 : 277,468.34 = 65,012.90 : x
  2. Step 2: Convert to fraction form
    184,970.54/277,468.34 = 65,012.90/x
  3. Step 3: Cross multiply
    184,970.54x = 277,468.34 × 65,012.90
  4. Step 4: Simplify right side
    184,970.54x = 18,039,021,441.59
  5. Step 5: Solve for x
    x = 18,039,021,441.59/184,970.54
  6. Step 6: Final answer
    x = 97,523.75

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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.