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Finding the Fourth Proportional to 208,296.95, 287,448.36 and 112,801.46

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Solution

The fourth proportional to 208,296.95, 287,448.36 and 112,801.46 is: 155,665.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,296.95 : 287,448.36 = 112,801.46 : x
  2. Step 2: Convert to fraction form
    208,296.95/287,448.36 = 112,801.46/x
  3. Step 3: Cross multiply
    208,296.95x = 287,448.36 × 112,801.46
  4. Step 4: Simplify right side
    208,296.95x = 32,424,594,682.61
  5. Step 5: Solve for x
    x = 32,424,594,682.61/208,296.95
  6. Step 6: Final answer
    x = 155,665.24

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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.