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Finding the Fourth Proportional to 208,852.38, 288,216.54 and 113,359.05

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Solution

The fourth proportional to 208,852.38, 288,216.54 and 113,359.05 is: 156,435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,852.38 : 288,216.54 = 113,359.05 : x
  2. Step 2: Convert to fraction form
    208,852.38/288,216.54 = 113,359.05/x
  3. Step 3: Cross multiply
    208,852.38x = 288,216.54 × 113,359.05
  4. Step 4: Simplify right side
    208,852.38x = 32,671,953,168.69
  5. Step 5: Solve for x
    x = 32,671,953,168.69/208,852.38
  6. Step 6: Final answer
    x = 156,435.63

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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.