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Finding the Fourth Proportional to 210,588.09, 290,610.87 and 115,094.76

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Solution

The fourth proportional to 210,588.09, 290,610.87 and 115,094.76 is: 158,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,588.09 : 290,610.87 = 115,094.76 : x
  2. Step 2: Convert to fraction form
    210,588.09/290,610.87 = 115,094.76/x
  3. Step 3: Cross multiply
    210,588.09x = 290,610.87 × 115,094.76
  4. Step 4: Simplify right side
    210,588.09x = 33,447,788,336.04
  5. Step 5: Solve for x
    x = 33,447,788,336.04/210,588.09
  6. Step 6: Final answer
    x = 158,830.39

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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.