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Finding the Fourth Proportional to 208,222.16, 287,354.76 and 117,597.20

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Solution

The fourth proportional to 208,222.16, 287,354.76 and 117,597.20 is: 162,288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,222.16 : 287,354.76 = 117,597.20 : x
  2. Step 2: Convert to fraction form
    208,222.16/287,354.76 = 117,597.20/x
  3. Step 3: Cross multiply
    208,222.16x = 287,354.76 × 117,597.20
  4. Step 4: Simplify right side
    208,222.16x = 33,792,115,182.67
  5. Step 5: Solve for x
    x = 33,792,115,182.67/208,222.16
  6. Step 6: Final answer
    x = 162,288.76

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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.