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Finding the Fourth Proportional to 265,522.32, 366,420.96 and 146,290.32

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Solution

The fourth proportional to 265,522.32, 366,420.96 and 146,290.32 is: 201,880.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,522.32 : 366,420.96 = 146,290.32 : x
  2. Step 2: Convert to fraction form
    265,522.32/366,420.96 = 146,290.32/x
  3. Step 3: Cross multiply
    265,522.32x = 366,420.96 × 146,290.32
  4. Step 4: Simplify right side
    265,522.32x = 53,603,839,493.11
  5. Step 5: Solve for x
    x = 53,603,839,493.11/265,522.32
  6. Step 6: Final answer
    x = 201,880.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.