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Finding the Fourth Proportional to 140,056, 210,084 and 41,560

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Solution

The fourth proportional to 140,056, 210,084 and 41,560 is: 62,340

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,056 : 210,084 = 41,560 : x
  2. Step 2: Convert to fraction form
    140,056/210,084 = 41,560/x
  3. Step 3: Cross multiply
    140,056x = 210,084 × 41,560
  4. Step 4: Simplify right side
    140,056x = 8,731,091,040
  5. Step 5: Solve for x
    x = 8,731,091,040/140,056
  6. Step 6: Final answer
    x = 62,340

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.