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Finding the Fourth Proportional to 208,735.32, 288,055.60 and 113,242.70

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Solution

The fourth proportional to 208,735.32, 288,055.60 and 113,242.70 is: 156,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,735.32 : 288,055.60 = 113,242.70 : x
  2. Step 2: Convert to fraction form
    208,735.32/288,055.60 = 113,242.70/x
  3. Step 3: Cross multiply
    208,735.32x = 288,055.60 × 113,242.70
  4. Step 4: Simplify right side
    208,735.32x = 32,620,193,894.12
  5. Step 5: Solve for x
    x = 32,620,193,894.12/208,735.32
  6. Step 6: Final answer
    x = 156,275.39

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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.