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Finding the Fourth Proportional to 208,751.80, 288,077.51 and 113,258.51

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Solution

The fourth proportional to 208,751.80, 288,077.51 and 113,258.51 is: 156,296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,751.80 : 288,077.51 = 113,258.51 : x
  2. Step 2: Convert to fraction form
    208,751.80/288,077.51 = 113,258.51/x
  3. Step 3: Cross multiply
    208,751.80x = 288,077.51 × 113,258.51
  4. Step 4: Simplify right side
    208,751.80x = 32,627,229,547.11
  5. Step 5: Solve for x
    x = 32,627,229,547.11/208,751.80
  6. Step 6: Final answer
    x = 156,296.76

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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.