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Finding the Fourth Proportional to 141,397.75, 195,130.22 and 77,736

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Solution

The fourth proportional to 141,397.75, 195,130.22 and 77,736 is: 107,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,397.75 : 195,130.22 = 77,736 : x
  2. Step 2: Convert to fraction form
    141,397.75/195,130.22 = 77,736/x
  3. Step 3: Cross multiply
    141,397.75x = 195,130.22 × 77,736
  4. Step 4: Simplify right side
    141,397.75x = 15,168,642,393.24
  5. Step 5: Solve for x
    x = 15,168,642,393.24/141,397.75
  6. Step 6: Final answer
    x = 107,276.41

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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.