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Finding the Fourth Proportional to 150,492, 207,696.24 and 85,971.45

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Solution

The fourth proportional to 150,492, 207,696.24 and 85,971.45 is: 118,650.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,492 : 207,696.24 = 85,971.45 : x
  2. Step 2: Convert to fraction form
    150,492/207,696.24 = 85,971.45/x
  3. Step 3: Cross multiply
    150,492x = 207,696.24 × 85,971.45
  4. Step 4: Simplify right side
    150,492x = 17,855,946,912.35
  5. Step 5: Solve for x
    x = 17,855,946,912.35/150,492
  6. Step 6: Final answer
    x = 118,650.47

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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.