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Finding the Fourth Proportional to 224,704.16, 310,089.84 and 124,100

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Solution

The fourth proportional to 224,704.16, 310,089.84 and 124,100 is: 171,256.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,704.16 : 310,089.84 = 124,100 : x
  2. Step 2: Convert to fraction form
    224,704.16/310,089.84 = 124,100/x
  3. Step 3: Cross multiply
    224,704.16x = 310,089.84 × 124,100
  4. Step 4: Simplify right side
    224,704.16x = 38,482,149,144
  5. Step 5: Solve for x
    x = 38,482,149,144/224,704.16
  6. Step 6: Final answer
    x = 171,256.95

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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.