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Finding the Fourth Proportional to 103,715.51, 143,129.36 and 61,274.07

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Solution

The fourth proportional to 103,715.51, 143,129.36 and 61,274.07 is: 84,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,715.51 : 143,129.36 = 61,274.07 : x
  2. Step 2: Convert to fraction form
    103,715.51/143,129.36 = 61,274.07/x
  3. Step 3: Cross multiply
    103,715.51x = 143,129.36 × 61,274.07
  4. Step 4: Simplify right side
    103,715.51x = 8,770,118,576.88
  5. Step 5: Solve for x
    x = 8,770,118,576.88/103,715.51
  6. Step 6: Final answer
    x = 84,559.38

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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.