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Finding the Fourth Proportional to 102,468, 141,405.84 and 57,756

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Solution

The fourth proportional to 102,468, 141,405.84 and 57,756 is: 79,703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,468 : 141,405.84 = 57,756 : x
  2. Step 2: Convert to fraction form
    102,468/141,405.84 = 57,756/x
  3. Step 3: Cross multiply
    102,468x = 141,405.84 × 57,756
  4. Step 4: Simplify right side
    102,468x = 8,167,035,695.04
  5. Step 5: Solve for x
    x = 8,167,035,695.04/102,468
  6. Step 6: Final answer
    x = 79,703.28

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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.