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Finding the Fourth Proportional to 196,570.50, 271,267.47 and 107,146.50

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Solution

The fourth proportional to 196,570.50, 271,267.47 and 107,146.50 is: 147,862.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,570.50 : 271,267.47 = 107,146.50 : x
  2. Step 2: Convert to fraction form
    196,570.50/271,267.47 = 107,146.50/x
  3. Step 3: Cross multiply
    196,570.50x = 271,267.47 × 107,146.50
  4. Step 4: Simplify right side
    196,570.50x = 29,065,359,974.36
  5. Step 5: Solve for x
    x = 29,065,359,974.36/196,570.50
  6. Step 6: Final answer
    x = 147,862.27

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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.