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Finding the Fourth Proportional to 210,505.21, 290,501.36 and 115,017.82

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Solution

The fourth proportional to 210,505.21, 290,501.36 and 115,017.82 is: 158,726.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,505.21 : 290,501.36 = 115,017.82 : x
  2. Step 2: Convert to fraction form
    210,505.21/290,501.36 = 115,017.82/x
  3. Step 3: Cross multiply
    210,505.21x = 290,501.36 × 115,017.82
  4. Step 4: Simplify right side
    210,505.21x = 33,412,833,134.24
  5. Step 5: Solve for x
    x = 33,412,833,134.24/210,505.21
  6. Step 6: Final answer
    x = 158,726.87

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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.