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Finding the Fourth Proportional to 213,329.76, 294,389.42 and 117,834.40

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Solution

The fourth proportional to 213,329.76, 294,389.42 and 117,834.40 is: 162,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,329.76 : 294,389.42 = 117,834.40 : x
  2. Step 2: Convert to fraction form
    213,329.76/294,389.42 = 117,834.40/x
  3. Step 3: Cross multiply
    213,329.76x = 294,389.42 × 117,834.40
  4. Step 4: Simplify right side
    213,329.76x = 34,689,200,672.05
  5. Step 5: Solve for x
    x = 34,689,200,672.05/213,329.76
  6. Step 6: Final answer
    x = 162,608.35

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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.