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Finding the Fourth Proportional to 129,412.34, 194,150.74 and 102,858.51

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Solution

The fourth proportional to 129,412.34, 194,150.74 and 102,858.51 is: 154,313.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,412.34 : 194,150.74 = 102,858.51 : x
  2. Step 2: Convert to fraction form
    129,412.34/194,150.74 = 102,858.51/x
  3. Step 3: Cross multiply
    129,412.34x = 194,150.74 × 102,858.51
  4. Step 4: Simplify right side
    129,412.34x = 19,970,055,831.80
  5. Step 5: Solve for x
    x = 19,970,055,831.80/129,412.34
  6. Step 6: Final answer
    x = 154,313.38

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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.