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Finding the Fourth Proportional to 208,529.84, 287,771.52 and 113,036.48

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Solution

The fourth proportional to 208,529.84, 287,771.52 and 113,036.48 is: 155,990.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,529.84 : 287,771.52 = 113,036.48 : x
  2. Step 2: Convert to fraction form
    208,529.84/287,771.52 = 113,036.48/x
  3. Step 3: Cross multiply
    208,529.84x = 287,771.52 × 113,036.48
  4. Step 4: Simplify right side
    208,529.84x = 32,528,679,665.05
  5. Step 5: Solve for x
    x = 32,528,679,665.05/208,529.84
  6. Step 6: Final answer
    x = 155,990.53

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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.