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Finding the Fourth Proportional to 210,536.85, 290,537.37 and 115,041.51

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Solution

The fourth proportional to 210,536.85, 290,537.37 and 115,041.51 is: 158,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,536.85 : 290,537.37 = 115,041.51 : x
  2. Step 2: Convert to fraction form
    210,536.85/290,537.37 = 115,041.51/x
  3. Step 3: Cross multiply
    210,536.85x = 290,537.37 × 115,041.51
  4. Step 4: Simplify right side
    210,536.85x = 33,423,857,756.23
  5. Step 5: Solve for x
    x = 33,423,857,756.23/210,536.85
  6. Step 6: Final answer
    x = 158,755.38

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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.