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Finding the Fourth Proportional to 213,871.82, 295,174.19 and 123,210.14

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Solution

The fourth proportional to 213,871.82, 295,174.19 and 123,210.14 is: 170,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,871.82 : 295,174.19 = 123,210.14 : x
  2. Step 2: Convert to fraction form
    213,871.82/295,174.19 = 123,210.14/x
  3. Step 3: Cross multiply
    213,871.82x = 295,174.19 × 123,210.14
  4. Step 4: Simplify right side
    213,871.82x = 36,368,452,106.44
  5. Step 5: Solve for x
    x = 36,368,452,106.44/213,871.82
  6. Step 6: Final answer
    x = 170,047.90

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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.