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Finding the Fourth Proportional to 106,193.60, 146,549.76 and 58,442.48

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Solution

The fourth proportional to 106,193.60, 146,549.76 and 58,442.48 is: 80,652.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,193.60 : 146,549.76 = 58,442.48 : x
  2. Step 2: Convert to fraction form
    106,193.60/146,549.76 = 58,442.48/x
  3. Step 3: Cross multiply
    106,193.60x = 146,549.76 × 58,442.48
  4. Step 4: Simplify right side
    106,193.60x = 8,564,731,417.80
  5. Step 5: Solve for x
    x = 8,564,731,417.80/106,193.60
  6. Step 6: Final answer
    x = 80,652.05

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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.