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Finding the Fourth Proportional to 198,776.88, 274,307.12 and 113,888.46

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Solution

The fourth proportional to 198,776.88, 274,307.12 and 113,888.46 is: 157,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,776.88 : 274,307.12 = 113,888.46 : x
  2. Step 2: Convert to fraction form
    198,776.88/274,307.12 = 113,888.46/x
  3. Step 3: Cross multiply
    198,776.88x = 274,307.12 × 113,888.46
  4. Step 4: Simplify right side
    198,776.88x = 31,240,415,463.84
  5. Step 5: Solve for x
    x = 31,240,415,463.84/198,776.88
  6. Step 6: Final answer
    x = 157,163.22

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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.