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Finding the Fourth Proportional to 225,911.84, 338,851.74 and 105,995.12

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Solution

The fourth proportional to 225,911.84, 338,851.74 and 105,995.12 is: 158,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,911.84 : 338,851.74 = 105,995.12 : x
  2. Step 2: Convert to fraction form
    225,911.84/338,851.74 = 105,995.12/x
  3. Step 3: Cross multiply
    225,911.84x = 338,851.74 × 105,995.12
  4. Step 4: Simplify right side
    225,911.84x = 35,916,630,843.51
  5. Step 5: Solve for x
    x = 35,916,630,843.51/225,911.84
  6. Step 6: Final answer
    x = 158,985.16

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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.