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Finding the Fourth Proportional to 133,758.63, 184,605.93 and 82,787.76

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Solution

The fourth proportional to 133,758.63, 184,605.93 and 82,787.76 is: 114,258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,758.63 : 184,605.93 = 82,787.76 : x
  2. Step 2: Convert to fraction form
    133,758.63/184,605.93 = 82,787.76/x
  3. Step 3: Cross multiply
    133,758.63x = 184,605.93 × 82,787.76
  4. Step 4: Simplify right side
    133,758.63x = 15,283,111,427.42
  5. Step 5: Solve for x
    x = 15,283,111,427.42/133,758.63
  6. Step 6: Final answer
    x = 114,258.88

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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.