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Finding the Fourth Proportional to 211,058.40, 291,249.42 and 115,546.80

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Solution

The fourth proportional to 211,058.40, 291,249.42 and 115,546.80 is: 159,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,058.40 : 291,249.42 = 115,546.80 : x
  2. Step 2: Convert to fraction form
    211,058.40/291,249.42 = 115,546.80/x
  3. Step 3: Cross multiply
    211,058.40x = 291,249.42 × 115,546.80
  4. Step 4: Simplify right side
    211,058.40x = 33,652,938,482.86
  5. Step 5: Solve for x
    x = 33,652,938,482.86/211,058.40
  6. Step 6: Final answer
    x = 159,448.47

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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.