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Finding the Fourth Proportional to 224,704.32, 310,083.84 and 124,100.16

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Solution

The fourth proportional to 224,704.32, 310,083.84 and 124,100.16 is: 171,253.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,704.32 : 310,083.84 = 124,100.16 : x
  2. Step 2: Convert to fraction form
    224,704.32/310,083.84 = 124,100.16/x
  3. Step 3: Cross multiply
    224,704.32x = 310,083.84 × 124,100.16
  4. Step 4: Simplify right side
    224,704.32x = 38,481,454,157.41
  5. Step 5: Solve for x
    x = 38,481,454,157.41/224,704.32
  6. Step 6: Final answer
    x = 171,253.74

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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.