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Finding the Fourth Proportional to 101,596.47, 140,202.98 and 56,274.44

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Solution

The fourth proportional to 101,596.47, 140,202.98 and 56,274.44 is: 77,658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,596.47 : 140,202.98 = 56,274.44 : x
  2. Step 2: Convert to fraction form
    101,596.47/140,202.98 = 56,274.44/x
  3. Step 3: Cross multiply
    101,596.47x = 140,202.98 × 56,274.44
  4. Step 4: Simplify right side
    101,596.47x = 7,889,844,185.83
  5. Step 5: Solve for x
    x = 7,889,844,185.83/101,596.47
  6. Step 6: Final answer
    x = 77,658.64

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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.