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Finding the Fourth Proportional to 205,419.80, 308,360.10 and 122,360.60

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Solution

The fourth proportional to 205,419.80, 308,360.10 and 122,360.60 is: 183,678.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,419.80 : 308,360.10 = 122,360.60 : x
  2. Step 2: Convert to fraction form
    205,419.80/308,360.10 = 122,360.60/x
  3. Step 3: Cross multiply
    205,419.80x = 308,360.10 × 122,360.60
  4. Step 4: Simplify right side
    205,419.80x = 37,731,126,852.06
  5. Step 5: Solve for x
    x = 37,731,126,852.06/205,419.80
  6. Step 6: Final answer
    x = 183,678.14

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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.