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Finding the Fourth Proportional to 315,156.23, 472,738.44 and 104,794.16

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Solution

The fourth proportional to 315,156.23, 472,738.44 and 104,794.16 is: 157,192.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,156.23 : 472,738.44 = 104,794.16 : x
  2. Step 2: Convert to fraction form
    315,156.23/472,738.44 = 104,794.16/x
  3. Step 3: Cross multiply
    315,156.23x = 472,738.44 × 104,794.16
  4. Step 4: Simplify right side
    315,156.23x = 49,540,227,719.51
  5. Step 5: Solve for x
    x = 49,540,227,719.51/315,156.23
  6. Step 6: Final answer
    x = 157,192.60

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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.