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Finding the Fourth Proportional to 137,435.87, 205,213.85 and 123,111.93

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Solution

The fourth proportional to 137,435.87, 205,213.85 and 123,111.93 is: 183,825.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,435.87 : 205,213.85 = 123,111.93 : x
  2. Step 2: Convert to fraction form
    137,435.87/205,213.85 = 123,111.93/x
  3. Step 3: Cross multiply
    137,435.87x = 205,213.85 × 123,111.93
  4. Step 4: Simplify right side
    137,435.87x = 25,264,273,405.64
  5. Step 5: Solve for x
    x = 25,264,273,405.64/137,435.87
  6. Step 6: Final answer
    x = 183,825.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.