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Finding the Fourth Proportional to 292,740.48, 403,976.16 and 192,132

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Solution

The fourth proportional to 292,740.48, 403,976.16 and 192,132 is: 265,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,740.48 : 403,976.16 = 192,132 : x
  2. Step 2: Convert to fraction form
    292,740.48/403,976.16 = 192,132/x
  3. Step 3: Cross multiply
    292,740.48x = 403,976.16 × 192,132
  4. Step 4: Simplify right side
    292,740.48x = 77,616,747,573.12
  5. Step 5: Solve for x
    x = 77,616,747,573.12/292,740.48
  6. Step 6: Final answer
    x = 265,138.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.