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Finding the Fourth Proportional to 141,158.16, 194,796.76 and 77,494.32

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Solution

The fourth proportional to 141,158.16, 194,796.76 and 77,494.32 is: 106,941.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,158.16 : 194,796.76 = 77,494.32 : x
  2. Step 2: Convert to fraction form
    141,158.16/194,796.76 = 77,494.32/x
  3. Step 3: Cross multiply
    141,158.16x = 194,796.76 × 77,494.32
  4. Step 4: Simplify right side
    141,158.16x = 15,095,642,454.40
  5. Step 5: Solve for x
    x = 15,095,642,454.40/141,158.16
  6. Step 6: Final answer
    x = 106,941.34

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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.