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Finding the Fourth Proportional to 208,089.61, 287,164.64 and 117,449.39

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Solution

The fourth proportional to 208,089.61, 287,164.64 and 117,449.39 is: 162,080.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,089.61 : 287,164.64 = 117,449.39 : x
  2. Step 2: Convert to fraction form
    208,089.61/287,164.64 = 117,449.39/x
  3. Step 3: Cross multiply
    208,089.61x = 287,164.64 × 117,449.39
  4. Step 4: Simplify right side
    208,089.61x = 33,727,312,809.10
  5. Step 5: Solve for x
    x = 33,727,312,809.10/208,089.61
  6. Step 6: Final answer
    x = 162,080.72

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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.