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Finding the Fourth Proportional to 103,884.84, 143,343 and 61,427.88

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Solution

The fourth proportional to 103,884.84, 143,343 and 61,427.88 is: 84,759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,884.84 : 143,343 = 61,427.88 : x
  2. Step 2: Convert to fraction form
    103,884.84/143,343 = 61,427.88/x
  3. Step 3: Cross multiply
    103,884.84x = 143,343 × 61,427.88
  4. Step 4: Simplify right side
    103,884.84x = 8,805,256,602.84
  5. Step 5: Solve for x
    x = 8,805,256,602.84/103,884.84
  6. Step 6: Final answer
    x = 84,759.78

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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.