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Finding the Fourth Proportional to 208,788.41, 288,128.80 and 113,295.11

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Solution

The fourth proportional to 208,788.41, 288,128.80 and 113,295.11 is: 156,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,788.41 : 288,128.80 = 113,295.11 : x
  2. Step 2: Convert to fraction form
    208,788.41/288,128.80 = 113,295.11/x
  3. Step 3: Cross multiply
    208,788.41x = 288,128.80 × 113,295.11
  4. Step 4: Simplify right side
    208,788.41x = 32,643,582,153.86
  5. Step 5: Solve for x
    x = 32,643,582,153.86/208,788.41
  6. Step 6: Final answer
    x = 156,347.67

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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.