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Finding the Fourth Proportional to 208,851.48, 288,215.37 and 113,358.21

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Solution

The fourth proportional to 208,851.48, 288,215.37 and 113,358.21 is: 156,434.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,851.48 : 288,215.37 = 113,358.21 : x
  2. Step 2: Convert to fraction form
    208,851.48/288,215.37 = 113,358.21/x
  3. Step 3: Cross multiply
    208,851.48x = 288,215.37 × 113,358.21
  4. Step 4: Simplify right side
    208,851.48x = 32,671,577,870.90
  5. Step 5: Solve for x
    x = 32,671,577,870.90/208,851.48
  6. Step 6: Final answer
    x = 156,434.51

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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.