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Finding the Fourth Proportional to 202,325.45, 282,730.75 and 202,325.45

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Solution

The fourth proportional to 202,325.45, 282,730.75 and 202,325.45 is: 282,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,325.45 : 282,730.75 = 202,325.45 : x
  2. Step 2: Convert to fraction form
    202,325.45/282,730.75 = 202,325.45/x
  3. Step 3: Cross multiply
    202,325.45x = 282,730.75 × 202,325.45
  4. Step 4: Simplify right side
    202,325.45x = 57,203,626,222.59
  5. Step 5: Solve for x
    x = 57,203,626,222.59/202,325.45
  6. Step 6: Final answer
    x = 282,730.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.