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Finding the Fourth Proportional to 206,690.94, 285,262.02 and 114,830.82

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Solution

The fourth proportional to 206,690.94, 285,262.02 and 114,830.82 is: 158,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,690.94 : 285,262.02 = 114,830.82 : x
  2. Step 2: Convert to fraction form
    206,690.94/285,262.02 = 114,830.82/x
  3. Step 3: Cross multiply
    206,690.94x = 285,262.02 × 114,830.82
  4. Step 4: Simplify right side
    206,690.94x = 32,756,871,671.46
  5. Step 5: Solve for x
    x = 32,756,871,671.46/206,690.94
  6. Step 6: Final answer
    x = 158,482.38

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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.