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Finding the Fourth Proportional to 153,408.40, 211,703.16 and 86,340.40

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Solution

The fourth proportional to 153,408.40, 211,703.16 and 86,340.40 is: 119,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,408.40 : 211,703.16 = 86,340.40 : x
  2. Step 2: Convert to fraction form
    153,408.40/211,703.16 = 86,340.40/x
  3. Step 3: Cross multiply
    153,408.40x = 211,703.16 × 86,340.40
  4. Step 4: Simplify right side
    153,408.40x = 18,278,535,515.66
  5. Step 5: Solve for x
    x = 18,278,535,515.66/153,408.40
  6. Step 6: Final answer
    x = 119,149.51

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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.