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Finding the Fourth Proportional to 210,196.72, 290,077.59 and 114,709.56

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Solution

The fourth proportional to 210,196.72, 290,077.59 and 114,709.56 is: 158,302.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,196.72 : 290,077.59 = 114,709.56 : x
  2. Step 2: Convert to fraction form
    210,196.72/290,077.59 = 114,709.56/x
  3. Step 3: Cross multiply
    210,196.72x = 290,077.59 × 114,709.56
  4. Step 4: Simplify right side
    210,196.72x = 33,274,672,714.76
  5. Step 5: Solve for x
    x = 33,274,672,714.76/210,196.72
  6. Step 6: Final answer
    x = 158,302.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.