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Finding the Fourth Proportional to 223,975.94, 309,064.32 and 137,921.13

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Solution

The fourth proportional to 223,975.94, 309,064.32 and 137,921.13 is: 190,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,975.94 : 309,064.32 = 137,921.13 : x
  2. Step 2: Convert to fraction form
    223,975.94/309,064.32 = 137,921.13/x
  3. Step 3: Cross multiply
    223,975.94x = 309,064.32 × 137,921.13
  4. Step 4: Simplify right side
    223,975.94x = 42,626,500,257.08
  5. Step 5: Solve for x
    x = 42,626,500,257.08/223,975.94
  6. Step 6: Final answer
    x = 190,317.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.