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Finding the Fourth Proportional to 224,431.13, 309,714.95 and 123,829.13

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Solution

The fourth proportional to 224,431.13, 309,714.95 and 123,829.13 is: 170,884.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,431.13 : 309,714.95 = 123,829.13 : x
  2. Step 2: Convert to fraction form
    224,431.13/309,714.95 = 123,829.13/x
  3. Step 3: Cross multiply
    224,431.13x = 309,714.95 × 123,829.13
  4. Step 4: Simplify right side
    224,431.13x = 38,351,731,567.49
  5. Step 5: Solve for x
    x = 38,351,731,567.49/224,431.13
  6. Step 6: Final answer
    x = 170,884.19

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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.