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Finding the Fourth Proportional to 208,349.42, 287,505.15 and 117,713.25

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Solution

The fourth proportional to 208,349.42, 287,505.15 and 117,713.25 is: 162,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,349.42 : 287,505.15 = 117,713.25 : x
  2. Step 2: Convert to fraction form
    208,349.42/287,505.15 = 117,713.25/x
  3. Step 3: Cross multiply
    208,349.42x = 287,505.15 × 117,713.25
  4. Step 4: Simplify right side
    208,349.42x = 33,843,165,156.81
  5. Step 5: Solve for x
    x = 33,843,165,156.81/208,349.42
  6. Step 6: Final answer
    x = 162,434.65

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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.