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Finding the Fourth Proportional to 230,533.98, 345,632.90 and 155,467.64

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Solution

The fourth proportional to 230,533.98, 345,632.90 and 155,467.64 is: 233,088.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,533.98 : 345,632.90 = 155,467.64 : x
  2. Step 2: Convert to fraction form
    230,533.98/345,632.90 = 155,467.64/x
  3. Step 3: Cross multiply
    230,533.98x = 345,632.90 × 155,467.64
  4. Step 4: Simplify right side
    230,533.98x = 53,734,728,763.85
  5. Step 5: Solve for x
    x = 53,734,728,763.85/230,533.98
  6. Step 6: Final answer
    x = 233,088.11

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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.