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Finding the Fourth Proportional to 200,970.40, 301,455.60 and 82,726.60

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Solution

The fourth proportional to 200,970.40, 301,455.60 and 82,726.60 is: 124,089.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,970.40 : 301,455.60 = 82,726.60 : x
  2. Step 2: Convert to fraction form
    200,970.40/301,455.60 = 82,726.60/x
  3. Step 3: Cross multiply
    200,970.40x = 301,455.60 × 82,726.60
  4. Step 4: Simplify right side
    200,970.40x = 24,938,396,838.96
  5. Step 5: Solve for x
    x = 24,938,396,838.96/200,970.40
  6. Step 6: Final answer
    x = 124,089.90

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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.