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Finding the Fourth Proportional to 150,495.57, 207,710.34 and 114,316.83

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Solution

The fourth proportional to 150,495.57, 207,710.34 and 114,316.83 is: 157,777.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,495.57 : 207,710.34 = 114,316.83 : x
  2. Step 2: Convert to fraction form
    150,495.57/207,710.34 = 114,316.83/x
  3. Step 3: Cross multiply
    150,495.57x = 207,710.34 × 114,316.83
  4. Step 4: Simplify right side
    150,495.57x = 23,744,787,627.02
  5. Step 5: Solve for x
    x = 23,744,787,627.02/150,495.57
  6. Step 6: Final answer
    x = 157,777.32

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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.