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Finding the Fourth Proportional to 205,950.40, 308,925.60 and 161,713.60

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Solution

The fourth proportional to 205,950.40, 308,925.60 and 161,713.60 is: 242,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,950.40 : 308,925.60 = 161,713.60 : x
  2. Step 2: Convert to fraction form
    205,950.40/308,925.60 = 161,713.60/x
  3. Step 3: Cross multiply
    205,950.40x = 308,925.60 × 161,713.60
  4. Step 4: Simplify right side
    205,950.40x = 49,957,470,908.16
  5. Step 5: Solve for x
    x = 49,957,470,908.16/205,950.40
  6. Step 6: Final answer
    x = 242,570.40

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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.