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Finding the Fourth Proportional to 213,846, 294,767.52 and 168,452.16

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Solution

The fourth proportional to 213,846, 294,767.52 and 168,452.16 is: 232,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,846 : 294,767.52 = 168,452.16 : x
  2. Step 2: Convert to fraction form
    213,846/294,767.52 = 168,452.16/x
  3. Step 3: Cross multiply
    213,846x = 294,767.52 × 168,452.16
  4. Step 4: Simplify right side
    213,846x = 49,654,225,441.84
  5. Step 5: Solve for x
    x = 49,654,225,441.84/213,846
  6. Step 6: Final answer
    x = 232,196.19

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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.