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Finding the Fourth Proportional to 103,611.39, 142,983.93 and 61,172.65

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Solution

The fourth proportional to 103,611.39, 142,983.93 and 61,172.65 is: 84,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,611.39 : 142,983.93 = 61,172.65 : x
  2. Step 2: Convert to fraction form
    103,611.39/142,983.93 = 61,172.65/x
  3. Step 3: Cross multiply
    103,611.39x = 142,983.93 × 61,172.65
  4. Step 4: Simplify right side
    103,611.39x = 8,746,705,905.51
  5. Step 5: Solve for x
    x = 8,746,705,905.51/103,611.39
  6. Step 6: Final answer
    x = 84,418.38

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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.