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Finding the Fourth Proportional to 150,838.06, 208,109.70 and 87,152.62

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Solution

The fourth proportional to 150,838.06, 208,109.70 and 87,152.62 is: 120,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,838.06 : 208,109.70 = 87,152.62 : x
  2. Step 2: Convert to fraction form
    150,838.06/208,109.70 = 87,152.62/x
  3. Step 3: Cross multiply
    150,838.06x = 208,109.70 × 87,152.62
  4. Step 4: Simplify right side
    150,838.06x = 18,137,305,602.41
  5. Step 5: Solve for x
    x = 18,137,305,602.41/150,838.06
  6. Step 6: Final answer
    x = 120,243.56

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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.