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Finding the Fourth Proportional to 230,106.40, 344,954.40 and 89,832.40

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Solution

The fourth proportional to 230,106.40, 344,954.40 and 89,832.40 is: 134,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,106.40 : 344,954.40 = 89,832.40 : x
  2. Step 2: Convert to fraction form
    230,106.40/344,954.40 = 89,832.40/x
  3. Step 3: Cross multiply
    230,106.40x = 344,954.40 × 89,832.40
  4. Step 4: Simplify right side
    230,106.40x = 30,988,081,642.56
  5. Step 5: Solve for x
    x = 30,988,081,642.56/230,106.40
  6. Step 6: Final answer
    x = 134,668.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.