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Finding the Fourth Proportional to 141,462.64, 195,259.85 and 84,142.32

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Solution

The fourth proportional to 141,462.64, 195,259.85 and 84,142.32 is: 116,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,462.64 : 195,259.85 = 84,142.32 : x
  2. Step 2: Convert to fraction form
    141,462.64/195,259.85 = 84,142.32/x
  3. Step 3: Cross multiply
    141,462.64x = 195,259.85 × 84,142.32
  4. Step 4: Simplify right side
    141,462.64x = 16,429,616,781.85
  5. Step 5: Solve for x
    x = 16,429,616,781.85/141,462.64
  6. Step 6: Final answer
    x = 116,141.03

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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.