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Finding the Fourth Proportional to 230,577.16, 345,880.32 and 72,811.84

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Solution

The fourth proportional to 230,577.16, 345,880.32 and 72,811.84 is: 109,222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,577.16 : 345,880.32 = 72,811.84 : x
  2. Step 2: Convert to fraction form
    230,577.16/345,880.32 = 72,811.84/x
  3. Step 3: Cross multiply
    230,577.16x = 345,880.32 × 72,811.84
  4. Step 4: Simplify right side
    230,577.16x = 25,184,182,518.99
  5. Step 5: Solve for x
    x = 25,184,182,518.99/230,577.16
  6. Step 6: Final answer
    x = 109,222.36

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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.