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Finding the Fourth Proportional to 208,483.68, 287,690.16 and 117,847.68

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Solution

The fourth proportional to 208,483.68, 287,690.16 and 117,847.68 is: 162,620.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,483.68 : 287,690.16 = 117,847.68 : x
  2. Step 2: Convert to fraction form
    208,483.68/287,690.16 = 117,847.68/x
  3. Step 3: Cross multiply
    208,483.68x = 287,690.16 × 117,847.68
  4. Step 4: Simplify right side
    208,483.68x = 33,903,617,914.83
  5. Step 5: Solve for x
    x = 33,903,617,914.83/208,483.68
  6. Step 6: Final answer
    x = 162,620.01

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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.