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Finding the Fourth Proportional to 213,955.70, 295,227.50 and 118,462.14

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Solution

The fourth proportional to 213,955.70, 295,227.50 and 118,462.14 is: 163,460.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,955.70 : 295,227.50 = 118,462.14 : x
  2. Step 2: Convert to fraction form
    213,955.70/295,227.50 = 118,462.14/x
  3. Step 3: Cross multiply
    213,955.70x = 295,227.50 × 118,462.14
  4. Step 4: Simplify right side
    213,955.70x = 34,973,280,844.54
  5. Step 5: Solve for x
    x = 34,973,280,844.54/213,955.70
  6. Step 6: Final answer
    x = 163,460.39

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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.