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Finding the Fourth Proportional to 114,634.24, 158,209.86 and 64,333.24

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Solution

The fourth proportional to 114,634.24, 158,209.86 and 64,333.24 is: 88,788.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,634.24 : 158,209.86 = 64,333.24 : x
  2. Step 2: Convert to fraction form
    114,634.24/158,209.86 = 64,333.24/x
  3. Step 3: Cross multiply
    114,634.24x = 158,209.86 × 64,333.24
  4. Step 4: Simplify right side
    114,634.24x = 10,178,152,893.75
  5. Step 5: Solve for x
    x = 10,178,152,893.75/114,634.24
  6. Step 6: Final answer
    x = 88,788.07

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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.