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Finding the Fourth Proportional to 153,195, 211,409.10 and 89,586.24

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Solution

The fourth proportional to 153,195, 211,409.10 and 89,586.24 is: 123,629.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,195 : 211,409.10 = 89,586.24 : x
  2. Step 2: Convert to fraction form
    153,195/211,409.10 = 89,586.24/x
  3. Step 3: Cross multiply
    153,195x = 211,409.10 × 89,586.24
  4. Step 4: Simplify right side
    153,195x = 18,939,346,370.78
  5. Step 5: Solve for x
    x = 18,939,346,370.78/153,195
  6. Step 6: Final answer
    x = 123,629.01

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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.