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Finding the Fourth Proportional to 204,065.10, 306,097.65 and 121,121.10

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Solution

The fourth proportional to 204,065.10, 306,097.65 and 121,121.10 is: 181,681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,065.10 : 306,097.65 = 121,121.10 : x
  2. Step 2: Convert to fraction form
    204,065.10/306,097.65 = 121,121.10/x
  3. Step 3: Cross multiply
    204,065.10x = 306,097.65 × 121,121.10
  4. Step 4: Simplify right side
    204,065.10x = 37,074,884,075.42
  5. Step 5: Solve for x
    x = 37,074,884,075.42/204,065.10
  6. Step 6: Final answer
    x = 181,681.65

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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.