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Finding the Fourth Proportional to 224,989.64, 310,517.40 and 137,826.75

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Solution

The fourth proportional to 224,989.64, 310,517.40 and 137,826.75 is: 190,220.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,989.64 : 310,517.40 = 137,826.75 : x
  2. Step 2: Convert to fraction form
    224,989.64/310,517.40 = 137,826.75/x
  3. Step 3: Cross multiply
    224,989.64x = 310,517.40 × 137,826.75
  4. Step 4: Simplify right side
    224,989.64x = 42,797,604,060.45
  5. Step 5: Solve for x
    x = 42,797,604,060.45/224,989.64
  6. Step 6: Final answer
    x = 190,220.34

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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.