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Finding the Fourth Proportional to 137,254.45, 189,400.81 and 83,533.53

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Solution

The fourth proportional to 137,254.45, 189,400.81 and 83,533.53 is: 115,269.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,254.45 : 189,400.81 = 83,533.53 : x
  2. Step 2: Convert to fraction form
    137,254.45/189,400.81 = 83,533.53/x
  3. Step 3: Cross multiply
    137,254.45x = 189,400.81 × 83,533.53
  4. Step 4: Simplify right side
    137,254.45x = 15,821,317,601.89
  5. Step 5: Solve for x
    x = 15,821,317,601.89/137,254.45
  6. Step 6: Final answer
    x = 115,269.98

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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.