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Finding the Fourth Proportional to 194,503.86, 291,639.09 and 76,033.98

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Solution

The fourth proportional to 194,503.86, 291,639.09 and 76,033.98 is: 114,005.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,503.86 : 291,639.09 = 76,033.98 : x
  2. Step 2: Convert to fraction form
    194,503.86/291,639.09 = 76,033.98/x
  3. Step 3: Cross multiply
    194,503.86x = 291,639.09 × 76,033.98
  4. Step 4: Simplify right side
    194,503.86x = 22,174,480,736.28
  5. Step 5: Solve for x
    x = 22,174,480,736.28/194,503.86
  6. Step 6: Final answer
    x = 114,005.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.