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Finding the Fourth Proportional to 213,518.34, 294,655.38 and 118,025

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Solution

The fourth proportional to 213,518.34, 294,655.38 and 118,025 is: 162,874.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,518.34 : 294,655.38 = 118,025 : x
  2. Step 2: Convert to fraction form
    213,518.34/294,655.38 = 118,025/x
  3. Step 3: Cross multiply
    213,518.34x = 294,655.38 × 118,025
  4. Step 4: Simplify right side
    213,518.34x = 34,776,701,224.50
  5. Step 5: Solve for x
    x = 34,776,701,224.50/213,518.34
  6. Step 6: Final answer
    x = 162,874.54

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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.