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Finding the Fourth Proportional to 210,113.12, 315,228 and 116,684.48

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Solution

The fourth proportional to 210,113.12, 315,228 and 116,684.48 is: 175,059.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,113.12 : 315,228 = 116,684.48 : x
  2. Step 2: Convert to fraction form
    210,113.12/315,228 = 116,684.48/x
  3. Step 3: Cross multiply
    210,113.12x = 315,228 × 116,684.48
  4. Step 4: Simplify right side
    210,113.12x = 36,782,215,261.44
  5. Step 5: Solve for x
    x = 36,782,215,261.44/210,113.12
  6. Step 6: Final answer
    x = 175,059.11

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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.