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Finding the Fourth Proportional to 137,690.76, 190,016.10 and 77,265.78

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Solution

The fourth proportional to 137,690.76, 190,016.10 and 77,265.78 is: 106,628.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,690.76 : 190,016.10 = 77,265.78 : x
  2. Step 2: Convert to fraction form
    137,690.76/190,016.10 = 77,265.78/x
  3. Step 3: Cross multiply
    137,690.76x = 190,016.10 × 77,265.78
  4. Step 4: Simplify right side
    137,690.76x = 14,681,742,179.06
  5. Step 5: Solve for x
    x = 14,681,742,179.06/137,690.76
  6. Step 6: Final answer
    x = 106,628.38

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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.