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Finding the Fourth Proportional to 138,276.08, 190,817.84 and 77,021.84

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Solution

The fourth proportional to 138,276.08, 190,817.84 and 77,021.84 is: 106,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,276.08 : 190,817.84 = 77,021.84 : x
  2. Step 2: Convert to fraction form
    138,276.08/190,817.84 = 77,021.84/x
  3. Step 3: Cross multiply
    138,276.08x = 190,817.84 × 77,021.84
  4. Step 4: Simplify right side
    138,276.08x = 14,697,141,141.63
  5. Step 5: Solve for x
    x = 14,697,141,141.63/138,276.08
  6. Step 6: Final answer
    x = 106,288.38

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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.