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Finding the Fourth Proportional to 213,558.46, 294,698.01 and 118,059.46

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Solution

The fourth proportional to 213,558.46, 294,698.01 and 118,059.46 is: 162,915.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,558.46 : 294,698.01 = 118,059.46 : x
  2. Step 2: Convert to fraction form
    213,558.46/294,698.01 = 118,059.46/x
  3. Step 3: Cross multiply
    213,558.46x = 294,698.01 × 118,059.46
  4. Step 4: Simplify right side
    213,558.46x = 34,791,887,186.93
  5. Step 5: Solve for x
    x = 34,791,887,186.93/213,558.46
  6. Step 6: Final answer
    x = 162,915.05

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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.