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Finding the Fourth Proportional to 209,264.48, 288,790.64 and 113,777.76

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Solution

The fourth proportional to 209,264.48, 288,790.64 and 113,777.76 is: 157,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,264.48 : 288,790.64 = 113,777.76 : x
  2. Step 2: Convert to fraction form
    209,264.48/288,790.64 = 113,777.76/x
  3. Step 3: Cross multiply
    209,264.48x = 288,790.64 × 113,777.76
  4. Step 4: Simplify right side
    209,264.48x = 32,857,952,128.17
  5. Step 5: Solve for x
    x = 32,857,952,128.17/209,264.48
  6. Step 6: Final answer
    x = 157,016.38

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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.