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Finding the Fourth Proportional to 137,844, 190,134 and 99,539.76

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Solution

The fourth proportional to 137,844, 190,134 and 99,539.76 is: 137,299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,844 : 190,134 = 99,539.76 : x
  2. Step 2: Convert to fraction form
    137,844/190,134 = 99,539.76/x
  3. Step 3: Cross multiply
    137,844x = 190,134 × 99,539.76
  4. Step 4: Simplify right side
    137,844x = 18,925,892,727.84
  5. Step 5: Solve for x
    x = 18,925,892,727.84/137,844
  6. Step 6: Final answer
    x = 137,299.36

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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.