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Finding the Fourth Proportional to 211,160.51, 291,401.25 and 114,364.31

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Solution

The fourth proportional to 211,160.51, 291,401.25 and 114,364.31 is: 157,822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,160.51 : 291,401.25 = 114,364.31 : x
  2. Step 2: Convert to fraction form
    211,160.51/291,401.25 = 114,364.31/x
  3. Step 3: Cross multiply
    211,160.51x = 291,401.25 × 114,364.31
  4. Step 4: Simplify right side
    211,160.51x = 33,325,901,432.38
  5. Step 5: Solve for x
    x = 33,325,901,432.38/211,160.51
  6. Step 6: Final answer
    x = 157,822.61

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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.