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Finding the Fourth Proportional to 200,076.42, 276,084.39 and 119,492.76

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Solution

The fourth proportional to 200,076.42, 276,084.39 and 119,492.76 is: 164,887.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,076.42 : 276,084.39 = 119,492.76 : x
  2. Step 2: Convert to fraction form
    200,076.42/276,084.39 = 119,492.76/x
  3. Step 3: Cross multiply
    200,076.42x = 276,084.39 × 119,492.76
  4. Step 4: Simplify right side
    200,076.42x = 32,990,085,754.02
  5. Step 5: Solve for x
    x = 32,990,085,754.02/200,076.42
  6. Step 6: Final answer
    x = 164,887.43

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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.