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Finding the Fourth Proportional to 153,794.10, 230,725.32 and 47,192.88

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Solution

The fourth proportional to 153,794.10, 230,725.32 and 47,192.88 is: 70,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,794.10 : 230,725.32 = 47,192.88 : x
  2. Step 2: Convert to fraction form
    153,794.10/230,725.32 = 47,192.88/x
  3. Step 3: Cross multiply
    153,794.10x = 230,725.32 × 47,192.88
  4. Step 4: Simplify right side
    153,794.10x = 10,888,592,339.72
  5. Step 5: Solve for x
    x = 10,888,592,339.72/153,794.10
  6. Step 6: Final answer
    x = 70,799.81

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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.