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Finding the Fourth Proportional to 106,178.39, 146,526.12 and 58,431.47

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Solution

The fourth proportional to 106,178.39, 146,526.12 and 58,431.47 is: 80,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,178.39 : 146,526.12 = 58,431.47 : x
  2. Step 2: Convert to fraction form
    106,178.39/146,526.12 = 58,431.47/x
  3. Step 3: Cross multiply
    106,178.39x = 146,526.12 × 58,431.47
  4. Step 4: Simplify right side
    106,178.39x = 8,561,736,585.00
  5. Step 5: Solve for x
    x = 8,561,736,585.00/106,178.39
  6. Step 6: Final answer
    x = 80,635.40

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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.