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Finding the Fourth Proportional to 150,123.96, 207,146.70 and 83,043

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Solution

The fourth proportional to 150,123.96, 207,146.70 and 83,043 is: 114,585.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,123.96 : 207,146.70 = 83,043 : x
  2. Step 2: Convert to fraction form
    150,123.96/207,146.70 = 83,043/x
  3. Step 3: Cross multiply
    150,123.96x = 207,146.70 × 83,043
  4. Step 4: Simplify right side
    150,123.96x = 17,202,083,408.10
  5. Step 5: Solve for x
    x = 17,202,083,408.10/150,123.96
  6. Step 6: Final answer
    x = 114,585.86

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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.