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Finding the Fourth Proportional to 208,315.60, 287,493.22 and 117,688.20

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Solution

The fourth proportional to 208,315.60, 287,493.22 and 117,688.20 is: 162,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,315.60 : 287,493.22 = 117,688.20 : x
  2. Step 2: Convert to fraction form
    208,315.60/287,493.22 = 117,688.20/x
  3. Step 3: Cross multiply
    208,315.60x = 287,493.22 × 117,688.20
  4. Step 4: Simplify right side
    208,315.60x = 33,834,559,574.00
  5. Step 5: Solve for x
    x = 33,834,559,574.00/208,315.60
  6. Step 6: Final answer
    x = 162,419.71

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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.