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Finding the Fourth Proportional to 235,006.80, 352,082.52 and 209,812.56

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Solution

The fourth proportional to 235,006.80, 352,082.52 and 209,812.56 is: 314,337.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,006.80 : 352,082.52 = 209,812.56 : x
  2. Step 2: Convert to fraction form
    235,006.80/352,082.52 = 209,812.56/x
  3. Step 3: Cross multiply
    235,006.80x = 352,082.52 × 209,812.56
  4. Step 4: Simplify right side
    235,006.80x = 73,871,334,852.45
  5. Step 5: Solve for x
    x = 73,871,334,852.45/235,006.80
  6. Step 6: Final answer
    x = 314,337.01

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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.