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Finding the Fourth Proportional to 228,444, 315,208.98 and 147,860.34

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Solution

The fourth proportional to 228,444, 315,208.98 and 147,860.34 is: 204,018.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,444 : 315,208.98 = 147,860.34 : x
  2. Step 2: Convert to fraction form
    228,444/315,208.98 = 147,860.34/x
  3. Step 3: Cross multiply
    228,444x = 315,208.98 × 147,860.34
  4. Step 4: Simplify right side
    228,444x = 46,606,906,953.85
  5. Step 5: Solve for x
    x = 46,606,906,953.85/228,444
  6. Step 6: Final answer
    x = 204,018.96

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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.