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Finding the Fourth Proportional to 243,094.80, 364,512.60 and 102,694.80

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Solution

The fourth proportional to 243,094.80, 364,512.60 and 102,694.80 is: 153,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,094.80 : 364,512.60 = 102,694.80 : x
  2. Step 2: Convert to fraction form
    243,094.80/364,512.60 = 102,694.80/x
  3. Step 3: Cross multiply
    243,094.80x = 364,512.60 × 102,694.80
  4. Step 4: Simplify right side
    243,094.80x = 37,433,548,554.48
  5. Step 5: Solve for x
    x = 37,433,548,554.48/243,094.80
  6. Step 6: Final answer
    x = 153,987.45

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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.