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Finding the Fourth Proportional to 101,597, 140,204.28 and 56,274

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Solution

The fourth proportional to 101,597, 140,204.28 and 56,274 is: 77,658.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,597 : 140,204.28 = 56,274 : x
  2. Step 2: Convert to fraction form
    101,597/140,204.28 = 56,274/x
  3. Step 3: Cross multiply
    101,597x = 140,204.28 × 56,274
  4. Step 4: Simplify right side
    101,597x = 7,889,855,652.72
  5. Step 5: Solve for x
    x = 7,889,855,652.72/101,597
  6. Step 6: Final answer
    x = 77,658.35

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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.