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Finding the Fourth Proportional to 141,396, 195,131.04 and 77,738.40

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Solution

The fourth proportional to 141,396, 195,131.04 and 77,738.40 is: 107,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,396 : 195,131.04 = 77,738.40 : x
  2. Step 2: Convert to fraction form
    141,396/195,131.04 = 77,738.40/x
  3. Step 3: Cross multiply
    141,396x = 195,131.04 × 77,738.40
  4. Step 4: Simplify right side
    141,396x = 15,169,174,839.94
  5. Step 5: Solve for x
    x = 15,169,174,839.94/141,396
  6. Step 6: Final answer
    x = 107,281.50

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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.