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Finding the Fourth Proportional to 213,058.35, 293,854.23 and 136,584.63

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Solution

The fourth proportional to 213,058.35, 293,854.23 and 136,584.63 is: 188,380.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,058.35 : 293,854.23 = 136,584.63 : x
  2. Step 2: Convert to fraction form
    213,058.35/293,854.23 = 136,584.63/x
  3. Step 3: Cross multiply
    213,058.35x = 293,854.23 × 136,584.63
  4. Step 4: Simplify right side
    213,058.35x = 40,135,971,278.48
  5. Step 5: Solve for x
    x = 40,135,971,278.48/213,058.35
  6. Step 6: Final answer
    x = 188,380.18

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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.