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Finding the Fourth Proportional to 150,944.13, 208,307.88 and 82,963.51

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Solution

The fourth proportional to 150,944.13, 208,307.88 and 82,963.51 is: 114,492.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,944.13 : 208,307.88 = 82,963.51 : x
  2. Step 2: Convert to fraction form
    150,944.13/208,307.88 = 82,963.51/x
  3. Step 3: Cross multiply
    150,944.13x = 208,307.88 × 82,963.51
  4. Step 4: Simplify right side
    150,944.13x = 17,281,952,364.69
  5. Step 5: Solve for x
    x = 17,281,952,364.69/150,944.13
  6. Step 6: Final answer
    x = 114,492.38

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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.