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Finding the Fourth Proportional to 190,094.40, 285,055.20 and 84,859.20

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Solution

The fourth proportional to 190,094.40, 285,055.20 and 84,859.20 is: 127,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,094.40 : 285,055.20 = 84,859.20 : x
  2. Step 2: Convert to fraction form
    190,094.40/285,055.20 = 84,859.20/x
  3. Step 3: Cross multiply
    190,094.40x = 285,055.20 × 84,859.20
  4. Step 4: Simplify right side
    190,094.40x = 24,189,556,227.84
  5. Step 5: Solve for x
    x = 24,189,556,227.84/190,094.40
  6. Step 6: Final answer
    x = 127,250.23

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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.