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Finding the Fourth Proportional to 224,824.36, 310,320.16 and 129,361.80

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Solution

The fourth proportional to 224,824.36, 310,320.16 and 129,361.80 is: 178,555.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,824.36 : 310,320.16 = 129,361.80 : x
  2. Step 2: Convert to fraction form
    224,824.36/310,320.16 = 129,361.80/x
  3. Step 3: Cross multiply
    224,824.36x = 310,320.16 × 129,361.80
  4. Step 4: Simplify right side
    224,824.36x = 40,143,574,473.89
  5. Step 5: Solve for x
    x = 40,143,574,473.89/224,824.36
  6. Step 6: Final answer
    x = 178,555.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.