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Finding the Fourth Proportional to 106,146.90, 146,485.08 and 58,402.80

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Solution

The fourth proportional to 106,146.90, 146,485.08 and 58,402.80 is: 80,597.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,146.90 : 146,485.08 = 58,402.80 : x
  2. Step 2: Convert to fraction form
    106,146.90/146,485.08 = 58,402.80/x
  3. Step 3: Cross multiply
    106,146.90x = 146,485.08 × 58,402.80
  4. Step 4: Simplify right side
    106,146.90x = 8,555,138,830.22
  5. Step 5: Solve for x
    x = 8,555,138,830.22/106,146.90
  6. Step 6: Final answer
    x = 80,597.16

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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.