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Finding the Fourth Proportional to 208,204.93, 287,322.90 and 112,711.63

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Solution

The fourth proportional to 208,204.93, 287,322.90 and 112,711.63 is: 155,542.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,204.93 : 287,322.90 = 112,711.63 : x
  2. Step 2: Convert to fraction form
    208,204.93/287,322.90 = 112,711.63/x
  3. Step 3: Cross multiply
    208,204.93x = 287,322.90 × 112,711.63
  4. Step 4: Simplify right side
    208,204.93x = 32,384,630,958.71
  5. Step 5: Solve for x
    x = 32,384,630,958.71/208,204.93
  6. Step 6: Final answer
    x = 155,542.09

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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.