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Finding the Fourth Proportional to 208,296.84, 287,592.30 and 132,947.40

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Solution

The fourth proportional to 208,296.84, 287,592.30 and 132,947.40 is: 183,558.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,296.84 : 287,592.30 = 132,947.40 : x
  2. Step 2: Convert to fraction form
    208,296.84/287,592.30 = 132,947.40/x
  3. Step 3: Cross multiply
    208,296.84x = 287,592.30 × 132,947.40
  4. Step 4: Simplify right side
    208,296.84x = 38,234,648,545.02
  5. Step 5: Solve for x
    x = 38,234,648,545.02/208,296.84
  6. Step 6: Final answer
    x = 183,558.47

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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.