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Finding the Fourth Proportional to 242,076.40, 363,460.20 and 137,100.40

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Solution

The fourth proportional to 242,076.40, 363,460.20 and 137,100.40 is: 205,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,076.40 : 363,460.20 = 137,100.40 : x
  2. Step 2: Convert to fraction form
    242,076.40/363,460.20 = 137,100.40/x
  3. Step 3: Cross multiply
    242,076.40x = 363,460.20 × 137,100.40
  4. Step 4: Simplify right side
    242,076.40x = 49,830,538,804.08
  5. Step 5: Solve for x
    x = 49,830,538,804.08/242,076.40
  6. Step 6: Final answer
    x = 205,846.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.