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Finding the Fourth Proportional to 137,580.24, 205,428.84 and 123,256.40

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Solution

The fourth proportional to 137,580.24, 205,428.84 and 123,256.40 is: 184,041.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,580.24 : 205,428.84 = 123,256.40 : x
  2. Step 2: Convert to fraction form
    137,580.24/205,428.84 = 123,256.40/x
  3. Step 3: Cross multiply
    137,580.24x = 205,428.84 × 123,256.40
  4. Step 4: Simplify right side
    137,580.24x = 25,320,419,274.58
  5. Step 5: Solve for x
    x = 25,320,419,274.58/137,580.24
  6. Step 6: Final answer
    x = 184,041.10

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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.