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Finding the Fourth Proportional to 242,811.20, 364,216.80 and 149,369.60

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Solution

The fourth proportional to 242,811.20, 364,216.80 and 149,369.60 is: 224,054.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,811.20 : 364,216.80 = 149,369.60 : x
  2. Step 2: Convert to fraction form
    242,811.20/364,216.80 = 149,369.60/x
  3. Step 3: Cross multiply
    242,811.20x = 364,216.80 × 149,369.60
  4. Step 4: Simplify right side
    242,811.20x = 54,402,917,729.28
  5. Step 5: Solve for x
    x = 54,402,917,729.28/242,811.20
  6. Step 6: Final answer
    x = 224,054.40

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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.