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Finding the Fourth Proportional to 224,027, 309,157.26 and 123,427.16

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Solution

The fourth proportional to 224,027, 309,157.26 and 123,427.16 is: 170,329.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,027 : 309,157.26 = 123,427.16 : x
  2. Step 2: Convert to fraction form
    224,027/309,157.26 = 123,427.16/x
  3. Step 3: Cross multiply
    224,027x = 309,157.26 × 123,427.16
  4. Step 4: Simplify right side
    224,027x = 38,158,402,595.18
  5. Step 5: Solve for x
    x = 38,158,402,595.18/224,027
  6. Step 6: Final answer
    x = 170,329.48

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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.