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Finding the Fourth Proportional to 134,199, 185,194.62 and 77,614.02

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Solution

The fourth proportional to 134,199, 185,194.62 and 77,614.02 is: 107,107.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,199 : 185,194.62 = 77,614.02 : x
  2. Step 2: Convert to fraction form
    134,199/185,194.62 = 77,614.02/x
  3. Step 3: Cross multiply
    134,199x = 185,194.62 × 77,614.02
  4. Step 4: Simplify right side
    134,199x = 14,373,698,940.57
  5. Step 5: Solve for x
    x = 14,373,698,940.57/134,199
  6. Step 6: Final answer
    x = 107,107.35

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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.