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Finding the Fourth Proportional to 77,197, 106,536.56 and 43,204.80

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Solution

The fourth proportional to 77,197, 106,536.56 and 43,204.80 is: 59,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,197 : 106,536.56 = 43,204.80 : x
  2. Step 2: Convert to fraction form
    77,197/106,536.56 = 43,204.80/x
  3. Step 3: Cross multiply
    77,197x = 106,536.56 × 43,204.80
  4. Step 4: Simplify right side
    77,197x = 4,602,890,767.49
  5. Step 5: Solve for x
    x = 4,602,890,767.49/77,197
  6. Step 6: Final answer
    x = 59,625.25

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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.