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Finding the Fourth Proportional to 134,709, 202,071.66 and 41,215.56

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Solution

The fourth proportional to 134,709, 202,071.66 and 41,215.56 is: 61,825.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,709 : 202,071.66 = 41,215.56 : x
  2. Step 2: Convert to fraction form
    134,709/202,071.66 = 41,215.56/x
  3. Step 3: Cross multiply
    134,709x = 202,071.66 × 41,215.56
  4. Step 4: Simplify right side
    134,709x = 8,328,496,627.03
  5. Step 5: Solve for x
    x = 8,328,496,627.03/134,709
  6. Step 6: Final answer
    x = 61,825.84

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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.