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Finding the Fourth Proportional to 153,855.33, 230,801.42 and 47,225.32

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Solution

The fourth proportional to 153,855.33, 230,801.42 and 47,225.32 is: 70,843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,855.33 : 230,801.42 = 47,225.32 : x
  2. Step 2: Convert to fraction form
    153,855.33/230,801.42 = 47,225.32/x
  3. Step 3: Cross multiply
    153,855.33x = 230,801.42 × 47,225.32
  4. Step 4: Simplify right side
    153,855.33x = 10,899,670,915.95
  5. Step 5: Solve for x
    x = 10,899,670,915.95/153,855.33
  6. Step 6: Final answer
    x = 70,843.64

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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.