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Finding the Fourth Proportional to 136,434.66, 204,642 and 42,967.14

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Solution

The fourth proportional to 136,434.66, 204,642 and 42,967.14 is: 64,447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,434.66 : 204,642 = 42,967.14 : x
  2. Step 2: Convert to fraction form
    136,434.66/204,642 = 42,967.14/x
  3. Step 3: Cross multiply
    136,434.66x = 204,642 × 42,967.14
  4. Step 4: Simplify right side
    136,434.66x = 8,792,881,463.88
  5. Step 5: Solve for x
    x = 8,792,881,463.88/136,434.66
  6. Step 6: Final answer
    x = 64,447.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.