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Finding the Fourth Proportional to 208,592.68, 287,840.10 and 117,944.20

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Solution

The fourth proportional to 208,592.68, 287,840.10 and 117,944.20 is: 162,752.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,592.68 : 287,840.10 = 117,944.20 : x
  2. Step 2: Convert to fraction form
    208,592.68/287,840.10 = 117,944.20/x
  3. Step 3: Cross multiply
    208,592.68x = 287,840.10 × 117,944.20
  4. Step 4: Simplify right side
    208,592.68x = 33,949,070,322.42
  5. Step 5: Solve for x
    x = 33,949,070,322.42/208,592.68
  6. Step 6: Final answer
    x = 162,752.93

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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.