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Finding the Fourth Proportional to 200,953, 301,429.50 and 82,688.68

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Solution

The fourth proportional to 200,953, 301,429.50 and 82,688.68 is: 124,033.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,953 : 301,429.50 = 82,688.68 : x
  2. Step 2: Convert to fraction form
    200,953/301,429.50 = 82,688.68/x
  3. Step 3: Cross multiply
    200,953x = 301,429.50 × 82,688.68
  4. Step 4: Simplify right side
    200,953x = 24,924,807,468.06
  5. Step 5: Solve for x
    x = 24,924,807,468.06/200,953
  6. Step 6: Final answer
    x = 124,033.02

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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.