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Finding the Fourth Proportional to 192,465.96, 265,592.25 and 106,419.96

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Solution

The fourth proportional to 192,465.96, 265,592.25 and 106,419.96 is: 146,853.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,465.96 : 265,592.25 = 106,419.96 : x
  2. Step 2: Convert to fraction form
    192,465.96/265,592.25 = 106,419.96/x
  3. Step 3: Cross multiply
    192,465.96x = 265,592.25 × 106,419.96
  4. Step 4: Simplify right side
    192,465.96x = 28,264,316,621.31
  5. Step 5: Solve for x
    x = 28,264,316,621.31/192,465.96
  6. Step 6: Final answer
    x = 146,853.59

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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.