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Finding the Fourth Proportional to 208,202.73, 287,803.98 and 185,764.11

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Solution

The fourth proportional to 208,202.73, 287,803.98 and 185,764.11 is: 256,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,202.73 : 287,803.98 = 185,764.11 : x
  2. Step 2: Convert to fraction form
    208,202.73/287,803.98 = 185,764.11/x
  3. Step 3: Cross multiply
    208,202.73x = 287,803.98 × 185,764.11
  4. Step 4: Simplify right side
    208,202.73x = 53,463,650,199.16
  5. Step 5: Solve for x
    x = 53,463,650,199.16/208,202.73
  6. Step 6: Final answer
    x = 256,786.50

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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.