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Finding the Fourth Proportional to 106,714.16, 147,266.00 and 58,317.06

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Solution

The fourth proportional to 106,714.16, 147,266.00 and 58,317.06 is: 80,477.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,714.16 : 147,266.00 = 58,317.06 : x
  2. Step 2: Convert to fraction form
    106,714.16/147,266.00 = 58,317.06/x
  3. Step 3: Cross multiply
    106,714.16x = 147,266.00 × 58,317.06
  4. Step 4: Simplify right side
    106,714.16x = 8,588,120,637.31
  5. Step 5: Solve for x
    x = 8,588,120,637.31/106,714.16
  6. Step 6: Final answer
    x = 80,477.80

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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.