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Finding the Fourth Proportional to 209,957.10, 314,935.65 and 131,225.10

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Solution

The fourth proportional to 209,957.10, 314,935.65 and 131,225.10 is: 196,837.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,957.10 : 314,935.65 = 131,225.10 : x
  2. Step 2: Convert to fraction form
    209,957.10/314,935.65 = 131,225.10/x
  3. Step 3: Cross multiply
    209,957.10x = 314,935.65 × 131,225.10
  4. Step 4: Simplify right side
    209,957.10x = 41,327,462,164.82
  5. Step 5: Solve for x
    x = 41,327,462,164.82/209,957.10
  6. Step 6: Final answer
    x = 196,837.65

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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.