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Finding the Fourth Proportional to 208,060.44, 287,417.34 and 165,564.60

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Solution

The fourth proportional to 208,060.44, 287,417.34 and 165,564.60 is: 228,713.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,060.44 : 287,417.34 = 165,564.60 : x
  2. Step 2: Convert to fraction form
    208,060.44/287,417.34 = 165,564.60/x
  3. Step 3: Cross multiply
    208,060.44x = 287,417.34 × 165,564.60
  4. Step 4: Simplify right side
    208,060.44x = 47,586,136,930.16
  5. Step 5: Solve for x
    x = 47,586,136,930.16/208,060.44
  6. Step 6: Final answer
    x = 228,713.05

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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.