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Finding the Fourth Proportional to 192,656.34, 265,878.05 and 107,774.01

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Solution

The fourth proportional to 192,656.34, 265,878.05 and 107,774.01 is: 148,735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,656.34 : 265,878.05 = 107,774.01 : x
  2. Step 2: Convert to fraction form
    192,656.34/265,878.05 = 107,774.01/x
  3. Step 3: Cross multiply
    192,656.34x = 265,878.05 × 107,774.01
  4. Step 4: Simplify right side
    192,656.34x = 28,654,743,080.61
  5. Step 5: Solve for x
    x = 28,654,743,080.61/192,656.34
  6. Step 6: Final answer
    x = 148,735.01

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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.