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Finding the Fourth Proportional to 140,022, 210,033 and 41,526

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Solution

The fourth proportional to 140,022, 210,033 and 41,526 is: 62,289

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,022 : 210,033 = 41,526 : x
  2. Step 2: Convert to fraction form
    140,022/210,033 = 41,526/x
  3. Step 3: Cross multiply
    140,022x = 210,033 × 41,526
  4. Step 4: Simplify right side
    140,022x = 8,721,830,358
  5. Step 5: Solve for x
    x = 8,721,830,358/140,022
  6. Step 6: Final answer
    x = 62,289

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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.