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Finding the Fourth Proportional to 76,434.40, 114,554.40 and 68,075.20

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Solution

The fourth proportional to 76,434.40, 114,554.40 and 68,075.20 is: 102,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,434.40 : 114,554.40 = 68,075.20 : x
  2. Step 2: Convert to fraction form
    76,434.40/114,554.40 = 68,075.20/x
  3. Step 3: Cross multiply
    76,434.40x = 114,554.40 × 68,075.20
  4. Step 4: Simplify right side
    76,434.40x = 7,798,313,690.88
  5. Step 5: Solve for x
    x = 7,798,313,690.88/76,434.40
  6. Step 6: Final answer
    x = 102,026.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.