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Finding the Fourth Proportional to 224,631, 309,738.06 and 183,667.32

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Solution

The fourth proportional to 224,631, 309,738.06 and 183,667.32 is: 253,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,631 : 309,738.06 = 183,667.32 : x
  2. Step 2: Convert to fraction form
    224,631/309,738.06 = 183,667.32/x
  3. Step 3: Cross multiply
    224,631x = 309,738.06 × 183,667.32
  4. Step 4: Simplify right side
    224,631x = 56,888,759,382.20
  5. Step 5: Solve for x
    x = 56,888,759,382.20/224,631
  6. Step 6: Final answer
    x = 253,254.27

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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.