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Finding the Fourth Proportional to 150,109.47, 207,152.73 and 82,125

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Solution

The fourth proportional to 150,109.47, 207,152.73 and 82,125 is: 113,333.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,109.47 : 207,152.73 = 82,125 : x
  2. Step 2: Convert to fraction form
    150,109.47/207,152.73 = 82,125/x
  3. Step 3: Cross multiply
    150,109.47x = 207,152.73 × 82,125
  4. Step 4: Simplify right side
    150,109.47x = 17,012,417,951.25
  5. Step 5: Solve for x
    x = 17,012,417,951.25/150,109.47
  6. Step 6: Final answer
    x = 113,333.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.