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Finding the Fourth Proportional to 150,416.34, 207,574.47 and 89,989.44

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Solution

The fourth proportional to 150,416.34, 207,574.47 and 89,989.44 is: 124,185.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,416.34 : 207,574.47 = 89,989.44 : x
  2. Step 2: Convert to fraction form
    150,416.34/207,574.47 = 89,989.44/x
  3. Step 3: Cross multiply
    150,416.34x = 207,574.47 × 89,989.44
  4. Step 4: Simplify right side
    150,416.34x = 18,679,510,313.60
  5. Step 5: Solve for x
    x = 18,679,510,313.60/150,416.34
  6. Step 6: Final answer
    x = 124,185.38

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Why These Related Problems?

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