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Finding the Fourth Proportional to 208,851.10, 288,214.84 and 113,357.84

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Solution

The fourth proportional to 208,851.10, 288,214.84 and 113,357.84 is: 156,433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,851.10 : 288,214.84 = 113,357.84 : x
  2. Step 2: Convert to fraction form
    208,851.10/288,214.84 = 113,357.84/x
  3. Step 3: Cross multiply
    208,851.10x = 288,214.84 × 113,357.84
  4. Step 4: Simplify right side
    208,851.10x = 32,671,411,718.35
  5. Step 5: Solve for x
    x = 32,671,411,718.35/208,851.10
  6. Step 6: Final answer
    x = 156,433.99

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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.