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Finding the Fourth Proportional to 208,693.49, 287,994.98 and 113,198.81

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Solution

The fourth proportional to 208,693.49, 287,994.98 and 113,198.81 is: 156,213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,693.49 : 287,994.98 = 113,198.81 : x
  2. Step 2: Convert to fraction form
    208,693.49/287,994.98 = 113,198.81/x
  3. Step 3: Cross multiply
    208,693.49x = 287,994.98 × 113,198.81
  4. Step 4: Simplify right side
    208,693.49x = 32,600,688,455.98
  5. Step 5: Solve for x
    x = 32,600,688,455.98/208,693.49
  6. Step 6: Final answer
    x = 156,213.25

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1.5x scale

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.