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Finding the Fourth Proportional to 265,369.68, 397,950.84 and 117,522

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Solution

The fourth proportional to 265,369.68, 397,950.84 and 117,522 is: 176,237.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,369.68 : 397,950.84 = 117,522 : x
  2. Step 2: Convert to fraction form
    265,369.68/397,950.84 = 117,522/x
  3. Step 3: Cross multiply
    265,369.68x = 397,950.84 × 117,522
  4. Step 4: Simplify right side
    265,369.68x = 46,767,978,618.48
  5. Step 5: Solve for x
    x = 46,767,978,618.48/265,369.68
  6. Step 6: Final answer
    x = 176,237.08

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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.