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Finding the Fourth Proportional to 133,676.69, 184,461.56 and 77,077.13

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Solution

The fourth proportional to 133,676.69, 184,461.56 and 77,077.13 is: 106,359.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,676.69 : 184,461.56 = 77,077.13 : x
  2. Step 2: Convert to fraction form
    133,676.69/184,461.56 = 77,077.13/x
  3. Step 3: Cross multiply
    133,676.69x = 184,461.56 × 77,077.13
  4. Step 4: Simplify right side
    133,676.69x = 14,217,767,640.12
  5. Step 5: Solve for x
    x = 14,217,767,640.12/133,676.69
  6. Step 6: Final answer
    x = 106,359.36

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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.