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Finding the Fourth Proportional to 203,492.55, 280,496.07 and 160,402.17

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Solution

The fourth proportional to 203,492.55, 280,496.07 and 160,402.17 is: 221,099.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,492.55 : 280,496.07 = 160,402.17 : x
  2. Step 2: Convert to fraction form
    203,492.55/280,496.07 = 160,402.17/x
  3. Step 3: Cross multiply
    203,492.55x = 280,496.07 × 160,402.17
  4. Step 4: Simplify right side
    203,492.55x = 44,992,178,304.47
  5. Step 5: Solve for x
    x = 44,992,178,304.47/203,492.55
  6. Step 6: Final answer
    x = 221,099.88

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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.