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Finding the Fourth Proportional to 242,314.96, 363,485.40 and 73,822.48

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Solution

The fourth proportional to 242,314.96, 363,485.40 and 73,822.48 is: 110,737.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,314.96 : 363,485.40 = 73,822.48 : x
  2. Step 2: Convert to fraction form
    242,314.96/363,485.40 = 73,822.48/x
  3. Step 3: Cross multiply
    242,314.96x = 363,485.40 × 73,822.48
  4. Step 4: Simplify right side
    242,314.96x = 26,833,393,671.79
  5. Step 5: Solve for x
    x = 26,833,393,671.79/242,314.96
  6. Step 6: Final answer
    x = 110,737.67

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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.