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Finding the Fourth Proportional to 141,145.84, 194,782.08 and 77,484.16

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Solution

The fourth proportional to 141,145.84, 194,782.08 and 77,484.16 is: 106,928.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,145.84 : 194,782.08 = 77,484.16 : x
  2. Step 2: Convert to fraction form
    141,145.84/194,782.08 = 77,484.16/x
  3. Step 3: Cross multiply
    141,145.84x = 194,782.08 × 77,484.16
  4. Step 4: Simplify right side
    141,145.84x = 15,092,525,851.85
  5. Step 5: Solve for x
    x = 15,092,525,851.85/141,145.84
  6. Step 6: Final answer
    x = 106,928.59

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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.