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Finding the Fourth Proportional to 106,090.66, 146,402.18 and 58,344

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Solution

The fourth proportional to 106,090.66, 146,402.18 and 58,344 is: 80,513.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,090.66 : 146,402.18 = 58,344 : x
  2. Step 2: Convert to fraction form
    106,090.66/146,402.18 = 58,344/x
  3. Step 3: Cross multiply
    106,090.66x = 146,402.18 × 58,344
  4. Step 4: Simplify right side
    106,090.66x = 8,541,688,935.78
  5. Step 5: Solve for x
    x = 8,541,688,935.78/106,090.66
  6. Step 6: Final answer
    x = 80,513.11

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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.