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Finding the Fourth Proportional to 192,452.32, 265,590 and 107,567.20

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Solution

The fourth proportional to 192,452.32, 265,590 and 107,567.20 is: 148,445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,452.32 : 265,590 = 107,567.20 : x
  2. Step 2: Convert to fraction form
    192,452.32/265,590 = 107,567.20/x
  3. Step 3: Cross multiply
    192,452.32x = 265,590 × 107,567.20
  4. Step 4: Simplify right side
    192,452.32x = 28,568,772,648
  5. Step 5: Solve for x
    x = 28,568,772,648/192,452.32
  6. Step 6: Final answer
    x = 148,445.98

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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.