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Finding the Fourth Proportional to 224,595.88, 309,573.08 and 159,206.64

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Solution

The fourth proportional to 224,595.88, 309,573.08 and 159,206.64 is: 219,443.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,595.88 : 309,573.08 = 159,206.64 : x
  2. Step 2: Convert to fraction form
    224,595.88/309,573.08 = 159,206.64/x
  3. Step 3: Cross multiply
    224,595.88x = 309,573.08 × 159,206.64
  4. Step 4: Simplify right side
    224,595.88x = 49,286,089,901.25
  5. Step 5: Solve for x
    x = 49,286,089,901.25/224,595.88
  6. Step 6: Final answer
    x = 219,443.43

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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.