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Finding the Fourth Proportional to 213,541.84, 294,662.10 and 118,035.46

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Solution

The fourth proportional to 213,541.84, 294,662.10 and 118,035.46 is: 162,874.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,541.84 : 294,662.10 = 118,035.46 : x
  2. Step 2: Convert to fraction form
    213,541.84/294,662.10 = 118,035.46/x
  3. Step 3: Cross multiply
    213,541.84x = 294,662.10 × 118,035.46
  4. Step 4: Simplify right side
    213,541.84x = 34,780,576,518.07
  5. Step 5: Solve for x
    x = 34,780,576,518.07/213,541.84
  6. Step 6: Final answer
    x = 162,874.76

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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.