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Finding the Fourth Proportional to 102,288.48, 141,157.69 and 56,967

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Solution

The fourth proportional to 102,288.48, 141,157.69 and 56,967 is: 78,614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,288.48 : 141,157.69 = 56,967 : x
  2. Step 2: Convert to fraction form
    102,288.48/141,157.69 = 56,967/x
  3. Step 3: Cross multiply
    102,288.48x = 141,157.69 × 56,967
  4. Step 4: Simplify right side
    102,288.48x = 8,041,330,126.23
  5. Step 5: Solve for x
    x = 8,041,330,126.23/102,288.48
  6. Step 6: Final answer
    x = 78,614.23

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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.