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Finding the Fourth Proportional to 137,830.82, 190,066.53 and 129,794.42

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Solution

The fourth proportional to 137,830.82, 190,066.53 and 129,794.42 is: 178,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,830.82 : 190,066.53 = 129,794.42 : x
  2. Step 2: Convert to fraction form
    137,830.82/190,066.53 = 129,794.42/x
  3. Step 3: Cross multiply
    137,830.82x = 190,066.53 × 129,794.42
  4. Step 4: Simplify right side
    137,830.82x = 24,669,575,022.76
  5. Step 5: Solve for x
    x = 24,669,575,022.76/137,830.82
  6. Step 6: Final answer
    x = 178,984.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.