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Finding the Fourth Proportional to 210,900.14, 291,042.19 and 115,406.85

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Solution

The fourth proportional to 210,900.14, 291,042.19 and 115,406.85 is: 159,261.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,900.14 : 291,042.19 = 115,406.85 : x
  2. Step 2: Convert to fraction form
    210,900.14/291,042.19 = 115,406.85/x
  3. Step 3: Cross multiply
    210,900.14x = 291,042.19 × 115,406.85
  4. Step 4: Simplify right side
    210,900.14x = 33,588,262,365.00
  5. Step 5: Solve for x
    x = 33,588,262,365.00/210,900.14
  6. Step 6: Final answer
    x = 159,261.45

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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.