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Finding the Fourth Proportional to 141,442.98, 195,189.66 and 77,776.98

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Solution

The fourth proportional to 141,442.98, 195,189.66 and 77,776.98 is: 107,331.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,442.98 : 195,189.66 = 77,776.98 : x
  2. Step 2: Convert to fraction form
    141,442.98/195,189.66 = 77,776.98/x
  3. Step 3: Cross multiply
    141,442.98x = 195,189.66 × 77,776.98
  4. Step 4: Simplify right side
    141,442.98x = 15,181,262,282.03
  5. Step 5: Solve for x
    x = 15,181,262,282.03/141,442.98
  6. Step 6: Final answer
    x = 107,331.32

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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.