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Finding the Fourth Proportional to 210,119, 289,964.22 and 114,626.08

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Solution

The fourth proportional to 210,119, 289,964.22 and 114,626.08 is: 158,183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,119 : 289,964.22 = 114,626.08 : x
  2. Step 2: Convert to fraction form
    210,119/289,964.22 = 114,626.08/x
  3. Step 3: Cross multiply
    210,119x = 289,964.22 × 114,626.08
  4. Step 4: Simplify right side
    210,119x = 33,237,461,878.86
  5. Step 5: Solve for x
    x = 33,237,461,878.86/210,119
  6. Step 6: Final answer
    x = 158,183.99

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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.