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Finding the Fourth Proportional to 118,082.82, 162,946.14 and 66,407.64

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Solution

The fourth proportional to 118,082.82, 162,946.14 and 66,407.64 is: 91,637.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,082.82 : 162,946.14 = 66,407.64 : x
  2. Step 2: Convert to fraction form
    118,082.82/162,946.14 = 66,407.64/x
  3. Step 3: Cross multiply
    118,082.82x = 162,946.14 × 66,407.64
  4. Step 4: Simplify right side
    118,082.82x = 10,820,868,604.51
  5. Step 5: Solve for x
    x = 10,820,868,604.51/118,082.82
  6. Step 6: Final answer
    x = 91,637.96

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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.