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Finding the Fourth Proportional to 228,082.70, 314,796.84 and 132,603.14

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Solution

The fourth proportional to 228,082.70, 314,796.84 and 132,603.14 is: 183,017.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,082.70 : 314,796.84 = 132,603.14 : x
  2. Step 2: Convert to fraction form
    228,082.70/314,796.84 = 132,603.14/x
  3. Step 3: Cross multiply
    228,082.70x = 314,796.84 × 132,603.14
  4. Step 4: Simplify right side
    228,082.70x = 41,743,049,446.08
  5. Step 5: Solve for x
    x = 41,743,049,446.08/228,082.70
  6. Step 6: Final answer
    x = 183,017.17

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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.