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Finding the Fourth Proportional to 208,312.24, 287,355.79 and 169,591.71

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Solution

The fourth proportional to 208,312.24, 287,355.79 and 169,591.71 is: 233,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,312.24 : 287,355.79 = 169,591.71 : x
  2. Step 2: Convert to fraction form
    208,312.24/287,355.79 = 169,591.71/x
  3. Step 3: Cross multiply
    208,312.24x = 287,355.79 × 169,591.71
  4. Step 4: Simplify right side
    208,312.24x = 48,733,159,804.50
  5. Step 5: Solve for x
    x = 48,733,159,804.50/208,312.24
  6. Step 6: Final answer
    x = 233,942.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.