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Finding the Fourth Proportional to 101,653.94, 140,278.37 and 56,333.84

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Solution

The fourth proportional to 101,653.94, 140,278.37 and 56,333.84 is: 77,738.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,653.94 : 140,278.37 = 56,333.84 : x
  2. Step 2: Convert to fraction form
    101,653.94/140,278.37 = 56,333.84/x
  3. Step 3: Cross multiply
    101,653.94x = 140,278.37 × 56,333.84
  4. Step 4: Simplify right side
    101,653.94x = 7,902,418,267.98
  5. Step 5: Solve for x
    x = 7,902,418,267.98/101,653.94
  6. Step 6: Final answer
    x = 77,738.43

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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.