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Finding the Fourth Proportional to 141,141.84, 194,776.56 and 77,480.16

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Solution

The fourth proportional to 141,141.84, 194,776.56 and 77,480.16 is: 106,923.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,141.84 : 194,776.56 = 77,480.16 : x
  2. Step 2: Convert to fraction form
    141,141.84/194,776.56 = 77,480.16/x
  3. Step 3: Cross multiply
    141,141.84x = 194,776.56 × 77,480.16
  4. Step 4: Simplify right side
    141,141.84x = 15,091,319,033.05
  5. Step 5: Solve for x
    x = 15,091,319,033.05/141,141.84
  6. Step 6: Final answer
    x = 106,923.07

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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.