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Finding the Fourth Proportional to 137,111.22, 189,156.15 and 106,844.13

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Solution

The fourth proportional to 137,111.22, 189,156.15 and 106,844.13 is: 147,400.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,111.22 : 189,156.15 = 106,844.13 : x
  2. Step 2: Convert to fraction form
    137,111.22/189,156.15 = 106,844.13/x
  3. Step 3: Cross multiply
    137,111.22x = 189,156.15 × 106,844.13
  4. Step 4: Simplify right side
    137,111.22x = 20,210,224,280.90
  5. Step 5: Solve for x
    x = 20,210,224,280.90/137,111.22
  6. Step 6: Final answer
    x = 147,400.22

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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.