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Finding the Fourth Proportional to 380,543.00, 570,769.13 and 100,082.12

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Solution

The fourth proportional to 380,543.00, 570,769.13 and 100,082.12 is: 150,111.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,543.00 : 570,769.13 = 100,082.12 : x
  2. Step 2: Convert to fraction form
    380,543.00/570,769.13 = 100,082.12/x
  3. Step 3: Cross multiply
    380,543.00x = 570,769.13 × 100,082.12
  4. Step 4: Simplify right side
    380,543.00x = 57,123,781,957.32
  5. Step 5: Solve for x
    x = 57,123,781,957.32/380,543.00
  6. Step 6: Final answer
    x = 150,111.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.