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Finding the Fourth Proportional to 153,858.20, 230,811.10 and 65,112.20

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Solution

The fourth proportional to 153,858.20, 230,811.10 and 65,112.20 is: 97,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,858.20 : 230,811.10 = 65,112.20 : x
  2. Step 2: Convert to fraction form
    153,858.20/230,811.10 = 65,112.20/x
  3. Step 3: Cross multiply
    153,858.20x = 230,811.10 × 65,112.20
  4. Step 4: Simplify right side
    153,858.20x = 15,028,618,505.42
  5. Step 5: Solve for x
    x = 15,028,618,505.42/153,858.20
  6. Step 6: Final answer
    x = 97,678.37

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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.