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Finding the Fourth Proportional to 205,509.40, 308,069.70 and 121,334.20

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Solution

The fourth proportional to 205,509.40, 308,069.70 and 121,334.20 is: 181,886.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,509.40 : 308,069.70 = 121,334.20 : x
  2. Step 2: Convert to fraction form
    205,509.40/308,069.70 = 121,334.20/x
  3. Step 3: Cross multiply
    205,509.40x = 308,069.70 × 121,334.20
  4. Step 4: Simplify right side
    205,509.40x = 37,379,390,593.74
  5. Step 5: Solve for x
    x = 37,379,390,593.74/205,509.40
  6. Step 6: Final answer
    x = 181,886.52

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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.