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Finding the Fourth Proportional to 137,810.10, 189,738.02 and 117,585.81

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Solution

The fourth proportional to 137,810.10, 189,738.02 and 117,585.81 is: 161,893.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,810.10 : 189,738.02 = 117,585.81 : x
  2. Step 2: Convert to fraction form
    137,810.10/189,738.02 = 117,585.81/x
  3. Step 3: Cross multiply
    137,810.10x = 189,738.02 × 117,585.81
  4. Step 4: Simplify right side
    137,810.10x = 22,310,499,113.56
  5. Step 5: Solve for x
    x = 22,310,499,113.56/137,810.10
  6. Step 6: Final answer
    x = 161,893.07

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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.