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Finding the Fourth Proportional to 145,486.41, 200,705.30 and 105,136.26

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Solution

The fourth proportional to 145,486.41, 200,705.30 and 105,136.26 is: 145,040.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,486.41 : 200,705.30 = 105,136.26 : x
  2. Step 2: Convert to fraction form
    145,486.41/200,705.30 = 105,136.26/x
  3. Step 3: Cross multiply
    145,486.41x = 200,705.30 × 105,136.26
  4. Step 4: Simplify right side
    145,486.41x = 21,101,404,604.18
  5. Step 5: Solve for x
    x = 21,101,404,604.18/145,486.41
  6. Step 6: Final answer
    x = 145,040.38

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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.