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Finding the Fourth Proportional to 208,252.15, 287,173.15 and 178,137.16

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Solution

The fourth proportional to 208,252.15, 287,173.15 and 178,137.16 is: 245,645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,252.15 : 287,173.15 = 178,137.16 : x
  2. Step 2: Convert to fraction form
    208,252.15/287,173.15 = 178,137.16/x
  3. Step 3: Cross multiply
    208,252.15x = 287,173.15 × 178,137.16
  4. Step 4: Simplify right side
    208,252.15x = 51,156,209,369.25
  5. Step 5: Solve for x
    x = 51,156,209,369.25/208,252.15
  6. Step 6: Final answer
    x = 245,645.53

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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.