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Finding the Fourth Proportional to 224,422.17, 309,742.66 and 133,783.98

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Solution

The fourth proportional to 224,422.17, 309,742.66 and 133,783.98 is: 184,645.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,422.17 : 309,742.66 = 133,783.98 : x
  2. Step 2: Convert to fraction form
    224,422.17/309,742.66 = 133,783.98/x
  3. Step 3: Cross multiply
    224,422.17x = 309,742.66 × 133,783.98
  4. Step 4: Simplify right side
    224,422.17x = 41,438,605,830.59
  5. Step 5: Solve for x
    x = 41,438,605,830.59/224,422.17
  6. Step 6: Final answer
    x = 184,645.78

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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.