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Finding the Fourth Proportional to 213,894.30, 295,181.10 and 123,243.24

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Solution

The fourth proportional to 213,894.30, 295,181.10 and 123,243.24 is: 170,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,894.30 : 295,181.10 = 123,243.24 : x
  2. Step 2: Convert to fraction form
    213,894.30/295,181.10 = 123,243.24/x
  3. Step 3: Cross multiply
    213,894.30x = 295,181.10 × 123,243.24
  4. Step 4: Simplify right side
    213,894.30x = 36,379,075,150.76
  5. Step 5: Solve for x
    x = 36,379,075,150.76/213,894.30
  6. Step 6: Final answer
    x = 170,079.68

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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.