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Finding the Fourth Proportional to 208,854.90, 288,218.79 and 113,360.76

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Solution

The fourth proportional to 208,854.90, 288,218.79 and 113,360.76 is: 156,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,854.90 : 288,218.79 = 113,360.76 : x
  2. Step 2: Convert to fraction form
    208,854.90/288,218.79 = 113,360.76/x
  3. Step 3: Cross multiply
    208,854.90x = 288,218.79 × 113,360.76
  4. Step 4: Simplify right side
    208,854.90x = 32,672,701,080.68
  5. Step 5: Solve for x
    x = 32,672,701,080.68/208,854.90
  6. Step 6: Final answer
    x = 156,437.32

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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.