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Finding the Fourth Proportional to 224,430.84, 309,714.39 and 123,828.84

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Solution

The fourth proportional to 224,430.84, 309,714.39 and 123,828.84 is: 170,883.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,430.84 : 309,714.39 = 123,828.84 : x
  2. Step 2: Convert to fraction form
    224,430.84/309,714.39 = 123,828.84/x
  3. Step 3: Cross multiply
    224,430.84x = 309,714.39 × 123,828.84
  4. Step 4: Simplify right side
    224,430.84x = 38,351,573,645.01
  5. Step 5: Solve for x
    x = 38,351,573,645.01/224,430.84
  6. Step 6: Final answer
    x = 170,883.71

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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.