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Finding the Fourth Proportional to 141,776.64, 195,565.20 and 84,377.40

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Solution

The fourth proportional to 141,776.64, 195,565.20 and 84,377.40 is: 116,389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,776.64 : 195,565.20 = 84,377.40 : x
  2. Step 2: Convert to fraction form
    141,776.64/195,565.20 = 84,377.40/x
  3. Step 3: Cross multiply
    141,776.64x = 195,565.20 × 84,377.40
  4. Step 4: Simplify right side
    141,776.64x = 16,501,283,106.48
  5. Step 5: Solve for x
    x = 16,501,283,106.48/141,776.64
  6. Step 6: Final answer
    x = 116,389.29

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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.