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Finding the Fourth Proportional to 245,762.18, 339,070.70 and 200,362.11

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Solution

The fourth proportional to 245,762.18, 339,070.70 and 200,362.11 is: 276,433.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,762.18 : 339,070.70 = 200,362.11 : x
  2. Step 2: Convert to fraction form
    245,762.18/339,070.70 = 200,362.11/x
  3. Step 3: Cross multiply
    245,762.18x = 339,070.70 × 200,362.11
  4. Step 4: Simplify right side
    245,762.18x = 67,936,918,711.77
  5. Step 5: Solve for x
    x = 67,936,918,711.77/245,762.18
  6. Step 6: Final answer
    x = 276,433.58

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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.