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Finding the Fourth Proportional to 137,859.60, 190,263.84 and 84,133.20

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Solution

The fourth proportional to 137,859.60, 190,263.84 and 84,133.20 is: 116,114.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,859.60 : 190,263.84 = 84,133.20 : x
  2. Step 2: Convert to fraction form
    137,859.60/190,263.84 = 84,133.20/x
  3. Step 3: Cross multiply
    137,859.60x = 190,263.84 × 84,133.20
  4. Step 4: Simplify right side
    137,859.60x = 16,007,505,703.49
  5. Step 5: Solve for x
    x = 16,007,505,703.49/137,859.60
  6. Step 6: Final answer
    x = 116,114.55

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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.