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Finding the Fourth Proportional to 224,348.63, 309,601.10 and 123,746.63

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Solution

The fourth proportional to 224,348.63, 309,601.10 and 123,746.63 is: 170,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,348.63 : 309,601.10 = 123,746.63 : x
  2. Step 2: Convert to fraction form
    224,348.63/309,601.10 = 123,746.63/x
  3. Step 3: Cross multiply
    224,348.63x = 309,601.10 × 123,746.63
  4. Step 4: Simplify right side
    224,348.63x = 38,312,091,530.65
  5. Step 5: Solve for x
    x = 38,312,091,530.65/224,348.63
  6. Step 6: Final answer
    x = 170,770.34

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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.