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Finding the Fourth Proportional to 110,054.10, 165,081.15 and 103,493.10

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Solution

The fourth proportional to 110,054.10, 165,081.15 and 103,493.10 is: 155,239.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,054.10 : 165,081.15 = 103,493.10 : x
  2. Step 2: Convert to fraction form
    110,054.10/165,081.15 = 103,493.10/x
  3. Step 3: Cross multiply
    110,054.10x = 165,081.15 × 103,493.10
  4. Step 4: Simplify right side
    110,054.10x = 17,084,759,965.07
  5. Step 5: Solve for x
    x = 17,084,759,965.07/110,054.10
  6. Step 6: Final answer
    x = 155,239.65

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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.