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Finding the Fourth Proportional to 224,264.64, 309,560.16 and 133,649.04

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Solution

The fourth proportional to 224,264.64, 309,560.16 and 133,649.04 is: 184,480.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,264.64 : 309,560.16 = 133,649.04 : x
  2. Step 2: Convert to fraction form
    224,264.64/309,560.16 = 133,649.04/x
  3. Step 3: Cross multiply
    224,264.64x = 309,560.16 × 133,649.04
  4. Step 4: Simplify right side
    224,264.64x = 41,372,418,206.25
  5. Step 5: Solve for x
    x = 41,372,418,206.25/224,264.64
  6. Step 6: Final answer
    x = 184,480.35

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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.