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Finding the Fourth Proportional to 208,984.59, 288,396.18 and 113,491.98

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Solution

The fourth proportional to 208,984.59, 288,396.18 and 113,491.98 is: 156,617.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,984.59 : 288,396.18 = 113,491.98 : x
  2. Step 2: Convert to fraction form
    208,984.59/288,396.18 = 113,491.98/x
  3. Step 3: Cross multiply
    208,984.59x = 288,396.18 × 113,491.98
  4. Step 4: Simplify right side
    208,984.59x = 32,730,653,492.64
  5. Step 5: Solve for x
    x = 32,730,653,492.64/208,984.59
  6. Step 6: Final answer
    x = 156,617.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.