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Finding the Fourth Proportional to 210,586.63, 290,605.24 and 115,094.01

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Solution

The fourth proportional to 210,586.63, 290,605.24 and 115,094.01 is: 158,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,586.63 : 290,605.24 = 115,094.01 : x
  2. Step 2: Convert to fraction form
    210,586.63/290,605.24 = 115,094.01/x
  3. Step 3: Cross multiply
    210,586.63x = 290,605.24 × 115,094.01
  4. Step 4: Simplify right side
    210,586.63x = 33,446,921,823.14
  5. Step 5: Solve for x
    x = 33,446,921,823.14/210,586.63
  6. Step 6: Final answer
    x = 158,827.38

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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.