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Finding the Fourth Proportional to 213,564.02, 294,724.50 and 118,076.88

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Solution

The fourth proportional to 213,564.02, 294,724.50 and 118,076.88 is: 162,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,564.02 : 294,724.50 = 118,076.88 : x
  2. Step 2: Convert to fraction form
    213,564.02/294,724.50 = 118,076.88/x
  3. Step 3: Cross multiply
    213,564.02x = 294,724.50 × 118,076.88
  4. Step 4: Simplify right side
    213,564.02x = 34,800,149,419.56
  5. Step 5: Solve for x
    x = 34,800,149,419.56/213,564.02
  6. Step 6: Final answer
    x = 162,949.50

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1.5x scale

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.