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Finding the Fourth Proportional to 116,410.29, 175,393.31 and 105,178.68

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Solution

The fourth proportional to 116,410.29, 175,393.31 and 105,178.68 is: 158,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,410.29 : 175,393.31 = 105,178.68 : x
  2. Step 2: Convert to fraction form
    116,410.29/175,393.31 = 105,178.68/x
  3. Step 3: Cross multiply
    116,410.29x = 175,393.31 × 105,178.68
  4. Step 4: Simplify right side
    116,410.29x = 18,447,636,214.19
  5. Step 5: Solve for x
    x = 18,447,636,214.19/116,410.29
  6. Step 6: Final answer
    x = 158,470.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.