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Finding the Fourth Proportional to 192,468, 265,605.84 and 107,583.24

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Solution

The fourth proportional to 192,468, 265,605.84 and 107,583.24 is: 148,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,468 : 265,605.84 = 107,583.24 : x
  2. Step 2: Convert to fraction form
    192,468/265,605.84 = 107,583.24/x
  3. Step 3: Cross multiply
    192,468x = 265,605.84 × 107,583.24
  4. Step 4: Simplify right side
    192,468x = 28,574,736,830.12
  5. Step 5: Solve for x
    x = 28,574,736,830.12/192,468
  6. Step 6: Final answer
    x = 148,464.87

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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.