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Finding the Fourth Proportional to 200,135.88, 300,547.26 and 177,697.26

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Solution

The fourth proportional to 200,135.88, 300,547.26 and 177,697.26 is: 266,850.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,135.88 : 300,547.26 = 177,697.26 : x
  2. Step 2: Convert to fraction form
    200,135.88/300,547.26 = 177,697.26/x
  3. Step 3: Cross multiply
    200,135.88x = 300,547.26 × 177,697.26
  4. Step 4: Simplify right side
    200,135.88x = 53,406,424,602.51
  5. Step 5: Solve for x
    x = 53,406,424,602.51/200,135.88
  6. Step 6: Final answer
    x = 266,850.82

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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.