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Finding the Fourth Proportional to 208,733.68, 310,589.78 and 208,033.84

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Solution

The fourth proportional to 208,733.68, 310,589.78 and 208,033.84 is: 309,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,733.68 : 310,589.78 = 208,033.84 : x
  2. Step 2: Convert to fraction form
    208,733.68/310,589.78 = 208,033.84/x
  3. Step 3: Cross multiply
    208,733.68x = 310,589.78 × 208,033.84
  4. Step 4: Simplify right side
    208,733.68x = 64,613,184,598.16
  5. Step 5: Solve for x
    x = 64,613,184,598.16/208,733.68
  6. Step 6: Final answer
    x = 309,548.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.