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Finding the Fourth Proportional to 213,503.40, 294,630.48 and 118,014.12

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Solution

The fourth proportional to 213,503.40, 294,630.48 and 118,014.12 is: 162,857.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,503.40 : 294,630.48 = 118,014.12 : x
  2. Step 2: Convert to fraction form
    213,503.40/294,630.48 = 118,014.12/x
  3. Step 3: Cross multiply
    213,503.40x = 294,630.48 × 118,014.12
  4. Step 4: Simplify right side
    213,503.40x = 34,770,556,822.38
  5. Step 5: Solve for x
    x = 34,770,556,822.38/213,503.40
  6. Step 6: Final answer
    x = 162,857.16

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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.