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Finding the Fourth Proportional to 102,971.60, 142,102.32 and 62,687.08

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Solution

The fourth proportional to 102,971.60, 142,102.32 and 62,687.08 is: 86,509.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,971.60 : 142,102.32 = 62,687.08 : x
  2. Step 2: Convert to fraction form
    102,971.60/142,102.32 = 62,687.08/x
  3. Step 3: Cross multiply
    102,971.60x = 142,102.32 × 62,687.08
  4. Step 4: Simplify right side
    102,971.60x = 8,907,979,502.03
  5. Step 5: Solve for x
    x = 8,907,979,502.03/102,971.60
  6. Step 6: Final answer
    x = 86,509.09

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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.