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Finding the Fourth Proportional to 213,866.84, 295,172.84 and 123,206.58

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Solution

The fourth proportional to 213,866.84, 295,172.84 and 123,206.58 is: 170,046.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,866.84 : 295,172.84 = 123,206.58 : x
  2. Step 2: Convert to fraction form
    213,866.84/295,172.84 = 123,206.58/x
  3. Step 3: Cross multiply
    213,866.84x = 295,172.84 × 123,206.58
  4. Step 4: Simplify right side
    213,866.84x = 36,367,236,125.29
  5. Step 5: Solve for x
    x = 36,367,236,125.29/213,866.84
  6. Step 6: Final answer
    x = 170,046.17

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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.