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Finding the Fourth Proportional to 210,857.85, 290,984.54 and 115,364.25

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Solution

The fourth proportional to 210,857.85, 290,984.54 and 115,364.25 is: 159,203.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,857.85 : 290,984.54 = 115,364.25 : x
  2. Step 2: Convert to fraction form
    210,857.85/290,984.54 = 115,364.25/x
  3. Step 3: Cross multiply
    210,857.85x = 290,984.54 × 115,364.25
  4. Step 4: Simplify right side
    210,857.85x = 33,569,212,641.87
  5. Step 5: Solve for x
    x = 33,569,212,641.87/210,857.85
  6. Step 6: Final answer
    x = 159,203.05

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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.