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Finding the Fourth Proportional to 208,657, 287,946.66 and 119,233

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Solution

The fourth proportional to 208,657, 287,946.66 and 119,233 is: 164,541.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,657 : 287,946.66 = 119,233 : x
  2. Step 2: Convert to fraction form
    208,657/287,946.66 = 119,233/x
  3. Step 3: Cross multiply
    208,657x = 287,946.66 × 119,233
  4. Step 4: Simplify right side
    208,657x = 34,332,744,111.78
  5. Step 5: Solve for x
    x = 34,332,744,111.78/208,657
  6. Step 6: Final answer
    x = 164,541.54

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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.