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Finding the Fourth Proportional to 213,859.38, 295,121.34 and 117,063.12

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Solution

The fourth proportional to 213,859.38, 295,121.34 and 117,063.12 is: 161,544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,859.38 : 295,121.34 = 117,063.12 : x
  2. Step 2: Convert to fraction form
    213,859.38/295,121.34 = 117,063.12/x
  3. Step 3: Cross multiply
    213,859.38x = 295,121.34 × 117,063.12
  4. Step 4: Simplify right side
    213,859.38x = 34,547,824,838.98
  5. Step 5: Solve for x
    x = 34,547,824,838.98/213,859.38
  6. Step 6: Final answer
    x = 161,544.59

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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.