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Finding the Fourth Proportional to 114,314.40, 171,471.60 and 67,075.20

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Solution

The fourth proportional to 114,314.40, 171,471.60 and 67,075.20 is: 100,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,314.40 : 171,471.60 = 67,075.20 : x
  2. Step 2: Convert to fraction form
    114,314.40/171,471.60 = 67,075.20/x
  3. Step 3: Cross multiply
    114,314.40x = 171,471.60 × 67,075.20
  4. Step 4: Simplify right side
    114,314.40x = 11,501,491,864.32
  5. Step 5: Solve for x
    x = 11,501,491,864.32/114,314.40
  6. Step 6: Final answer
    x = 100,612.80

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Why These Related Problems?

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