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Finding the Fourth Proportional to 103,116, 154,683 and 29,244

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Solution

The fourth proportional to 103,116, 154,683 and 29,244 is: 43,868.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,116 : 154,683 = 29,244 : x
  2. Step 2: Convert to fraction form
    103,116/154,683 = 29,244/x
  3. Step 3: Cross multiply
    103,116x = 154,683 × 29,244
  4. Step 4: Simplify right side
    103,116x = 4,523,549,652
  5. Step 5: Solve for x
    x = 4,523,549,652/103,116
  6. Step 6: Final answer
    x = 43,868.55

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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.