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Finding the Fourth Proportional to 192,411.40, 265,355.82 and 120,798.08

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Solution

The fourth proportional to 192,411.40, 265,355.82 and 120,798.08 is: 166,593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,411.40 : 265,355.82 = 120,798.08 : x
  2. Step 2: Convert to fraction form
    192,411.40/265,355.82 = 120,798.08/x
  3. Step 3: Cross multiply
    192,411.40x = 265,355.82 × 120,798.08
  4. Step 4: Simplify right side
    192,411.40x = 32,054,473,572.83
  5. Step 5: Solve for x
    x = 32,054,473,572.83/192,411.40
  6. Step 6: Final answer
    x = 166,593.42

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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.