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Finding the Fourth Proportional to 210,896.30, 291,036.58 and 115,402.98

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Solution

The fourth proportional to 210,896.30, 291,036.58 and 115,402.98 is: 159,255.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,896.30 : 291,036.58 = 115,402.98 : x
  2. Step 2: Convert to fraction form
    210,896.30/291,036.58 = 115,402.98/x
  3. Step 3: Cross multiply
    210,896.30x = 291,036.58 × 115,402.98
  4. Step 4: Simplify right side
    210,896.30x = 33,586,488,621.01
  5. Step 5: Solve for x
    x = 33,586,488,621.01/210,896.30
  6. Step 6: Final answer
    x = 159,255.94

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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.