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Finding the Fourth Proportional to 199,307.94, 275,057.21 and 114,437.76

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Solution

The fourth proportional to 199,307.94, 275,057.21 and 114,437.76 is: 157,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,307.94 : 275,057.21 = 114,437.76 : x
  2. Step 2: Convert to fraction form
    199,307.94/275,057.21 = 114,437.76/x
  3. Step 3: Cross multiply
    199,307.94x = 275,057.21 × 114,437.76
  4. Step 4: Simplify right side
    199,307.94x = 31,476,930,984.25
  5. Step 5: Solve for x
    x = 31,476,930,984.25/199,307.94
  6. Step 6: Final answer
    x = 157,931.14

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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.