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Finding the Fourth Proportional to 133,506.57, 184,243.74 and 73,077.26

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Solution

The fourth proportional to 133,506.57, 184,243.74 and 73,077.26 is: 100,849.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,506.57 : 184,243.74 = 73,077.26 : x
  2. Step 2: Convert to fraction form
    133,506.57/184,243.74 = 73,077.26/x
  3. Step 3: Cross multiply
    133,506.57x = 184,243.74 × 73,077.26
  4. Step 4: Simplify right side
    133,506.57x = 13,464,026,907.15
  5. Step 5: Solve for x
    x = 13,464,026,907.15/133,506.57
  6. Step 6: Final answer
    x = 100,849.17

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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.