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Finding the Fourth Proportional to 213,572.52, 294,704.10 and 118,065.96

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Solution

The fourth proportional to 213,572.52, 294,704.10 and 118,065.96 is: 162,916.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,572.52 : 294,704.10 = 118,065.96 : x
  2. Step 2: Convert to fraction form
    213,572.52/294,704.10 = 118,065.96/x
  3. Step 3: Cross multiply
    213,572.52x = 294,704.10 × 118,065.96
  4. Step 4: Simplify right side
    213,572.52x = 34,794,522,482.44
  5. Step 5: Solve for x
    x = 34,794,522,482.44/213,572.52
  6. Step 6: Final answer
    x = 162,916.66

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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.