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Finding the Fourth Proportional to 133,805.06, 184,649.46 and 77,215.22

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Solution

The fourth proportional to 133,805.06, 184,649.46 and 77,215.22 is: 106,556.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,805.06 : 184,649.46 = 77,215.22 : x
  2. Step 2: Convert to fraction form
    133,805.06/184,649.46 = 77,215.22/x
  3. Step 3: Cross multiply
    133,805.06x = 184,649.46 × 77,215.22
  4. Step 4: Simplify right side
    133,805.06x = 14,257,748,676.78
  5. Step 5: Solve for x
    x = 14,257,748,676.78/133,805.06
  6. Step 6: Final answer
    x = 106,556.12

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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.