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Finding the Fourth Proportional to 208,851.66, 288,215.58 and 113,358.30

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Solution

The fourth proportional to 208,851.66, 288,215.58 and 113,358.30 is: 156,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,851.66 : 288,215.58 = 113,358.30 : x
  2. Step 2: Convert to fraction form
    208,851.66/288,215.58 = 113,358.30/x
  3. Step 3: Cross multiply
    208,851.66x = 288,215.58 × 113,358.30
  4. Step 4: Simplify right side
    208,851.66x = 32,671,628,182.31
  5. Step 5: Solve for x
    x = 32,671,628,182.31/208,851.66
  6. Step 6: Final answer
    x = 156,434.61

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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.