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Finding the Fourth Proportional to 106,461.37, 146,916.63 and 58,714.75

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Solution

The fourth proportional to 106,461.37, 146,916.63 and 58,714.75 is: 81,026.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,461.37 : 146,916.63 = 58,714.75 : x
  2. Step 2: Convert to fraction form
    106,461.37/146,916.63 = 58,714.75/x
  3. Step 3: Cross multiply
    106,461.37x = 146,916.63 × 58,714.75
  4. Step 4: Simplify right side
    106,461.37x = 8,626,173,201.29
  5. Step 5: Solve for x
    x = 8,626,173,201.29/106,461.37
  6. Step 6: Final answer
    x = 81,026.32

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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.