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Finding the Fourth Proportional to 152,960.81, 211,076.11 and 84,976.53

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Solution

The fourth proportional to 152,960.81, 211,076.11 and 84,976.53 is: 117,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,960.81 : 211,076.11 = 84,976.53 : x
  2. Step 2: Convert to fraction form
    152,960.81/211,076.11 = 84,976.53/x
  3. Step 3: Cross multiply
    152,960.81x = 211,076.11 × 84,976.53
  4. Step 4: Simplify right side
    152,960.81x = 17,936,514,708.38
  5. Step 5: Solve for x
    x = 17,936,514,708.38/152,960.81
  6. Step 6: Final answer
    x = 117,262.16

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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.