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Finding the Fourth Proportional to 153,811.20, 230,716.80 and 48,662.40

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Solution

The fourth proportional to 153,811.20, 230,716.80 and 48,662.40 is: 72,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,811.20 : 230,716.80 = 48,662.40 : x
  2. Step 2: Convert to fraction form
    153,811.20/230,716.80 = 48,662.40/x
  3. Step 3: Cross multiply
    153,811.20x = 230,716.80 × 48,662.40
  4. Step 4: Simplify right side
    153,811.20x = 11,227,233,208.32
  5. Step 5: Solve for x
    x = 11,227,233,208.32/153,811.20
  6. Step 6: Final answer
    x = 72,993.60

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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.