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Finding the Fourth Proportional to 102,484.68, 141,429.03 and 57,165.60

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Solution

The fourth proportional to 102,484.68, 141,429.03 and 57,165.60 is: 78,888.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,484.68 : 141,429.03 = 57,165.60 : x
  2. Step 2: Convert to fraction form
    102,484.68/141,429.03 = 57,165.60/x
  3. Step 3: Cross multiply
    102,484.68x = 141,429.03 × 57,165.60
  4. Step 4: Simplify right side
    102,484.68x = 8,084,875,357.37
  5. Step 5: Solve for x
    x = 8,084,875,357.37/102,484.68
  6. Step 6: Final answer
    x = 78,888.62

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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.