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Finding the Fourth Proportional to 224,316.90, 309,548.73 and 123,714.90

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Solution

The fourth proportional to 224,316.90, 309,548.73 and 123,714.90 is: 170,721.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,316.90 : 309,548.73 = 123,714.90 : x
  2. Step 2: Convert to fraction form
    224,316.90/309,548.73 = 123,714.90/x
  3. Step 3: Cross multiply
    224,316.90x = 309,548.73 × 123,714.90
  4. Step 4: Simplify right side
    224,316.90x = 38,295,790,177.08
  5. Step 5: Solve for x
    x = 38,295,790,177.08/224,316.90
  6. Step 6: Final answer
    x = 170,721.82

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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.