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Finding the Fourth Proportional to 133,407.47, 184,102.24 and 72,978.09

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Solution

The fourth proportional to 133,407.47, 184,102.24 and 72,978.09 is: 100,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,407.47 : 184,102.24 = 72,978.09 : x
  2. Step 2: Convert to fraction form
    133,407.47/184,102.24 = 72,978.09/x
  3. Step 3: Cross multiply
    133,407.47x = 184,102.24 × 72,978.09
  4. Step 4: Simplify right side
    133,407.47x = 13,435,430,070.05
  5. Step 5: Solve for x
    x = 13,435,430,070.05/133,407.47
  6. Step 6: Final answer
    x = 100,709.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.