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Finding the Fourth Proportional to 114,340, 157,789.24 and 64,039

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Solution

The fourth proportional to 114,340, 157,789.24 and 64,039 is: 88,373.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,340 : 157,789.24 = 64,039 : x
  2. Step 2: Convert to fraction form
    114,340/157,789.24 = 64,039/x
  3. Step 3: Cross multiply
    114,340x = 157,789.24 × 64,039
  4. Step 4: Simplify right side
    114,340x = 10,104,665,140.36
  5. Step 5: Solve for x
    x = 10,104,665,140.36/114,340
  6. Step 6: Final answer
    x = 88,373.84

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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.