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Finding the Fourth Proportional to 205,637.96, 308,482.32 and 100,377.38

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Solution

The fourth proportional to 205,637.96, 308,482.32 and 100,377.38 is: 150,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,637.96 : 308,482.32 = 100,377.38 : x
  2. Step 2: Convert to fraction form
    205,637.96/308,482.32 = 100,377.38/x
  3. Step 3: Cross multiply
    205,637.96x = 308,482.32 × 100,377.38
  4. Step 4: Simplify right side
    205,637.96x = 30,964,645,515.51
  5. Step 5: Solve for x
    x = 30,964,645,515.51/205,637.96
  6. Step 6: Final answer
    x = 150,578.45

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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.