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Finding the Fourth Proportional to 210,953.96, 291,105.29 and 115,442.20

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Solution

The fourth proportional to 210,953.96, 291,105.29 and 115,442.20 is: 159,304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,953.96 : 291,105.29 = 115,442.20 : x
  2. Step 2: Convert to fraction form
    210,953.96/291,105.29 = 115,442.20/x
  3. Step 3: Cross multiply
    210,953.96x = 291,105.29 × 115,442.20
  4. Step 4: Simplify right side
    210,953.96x = 33,605,835,109.24
  5. Step 5: Solve for x
    x = 33,605,835,109.24/210,953.96
  6. Step 6: Final answer
    x = 159,304.12

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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.