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Finding the Fourth Proportional to 202,986.40, 304,220.40 and 156,006.40

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Solution

The fourth proportional to 202,986.40, 304,220.40 and 156,006.40 is: 233,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,986.40 : 304,220.40 = 156,006.40 : x
  2. Step 2: Convert to fraction form
    202,986.40/304,220.40 = 156,006.40/x
  3. Step 3: Cross multiply
    202,986.40x = 304,220.40 × 156,006.40
  4. Step 4: Simplify right side
    202,986.40x = 47,460,329,410.56
  5. Step 5: Solve for x
    x = 47,460,329,410.56/202,986.40
  6. Step 6: Final answer
    x = 233,810.39

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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.