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Finding the Fourth Proportional to 114,031.80, 171,075.54 and 80,363.49

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Solution

The fourth proportional to 114,031.80, 171,075.54 and 80,363.49 is: 120,564.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,031.80 : 171,075.54 = 80,363.49 : x
  2. Step 2: Convert to fraction form
    114,031.80/171,075.54 = 80,363.49/x
  3. Step 3: Cross multiply
    114,031.80x = 171,075.54 × 80,363.49
  4. Step 4: Simplify right side
    114,031.80x = 13,748,227,448.03
  5. Step 5: Solve for x
    x = 13,748,227,448.03/114,031.80
  6. Step 6: Final answer
    x = 120,564.86

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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.