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Finding the Fourth Proportional to 224,430.82, 309,714.41 and 143,858.29

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Solution

The fourth proportional to 224,430.82, 309,714.41 and 143,858.29 is: 198,524.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,430.82 : 309,714.41 = 143,858.29 : x
  2. Step 2: Convert to fraction form
    224,430.82/309,714.41 = 143,858.29/x
  3. Step 3: Cross multiply
    224,430.82x = 309,714.41 × 143,858.29
  4. Step 4: Simplify right side
    224,430.82x = 44,554,983,143.10
  5. Step 5: Solve for x
    x = 44,554,983,143.10/224,430.82
  6. Step 6: Final answer
    x = 198,524.35

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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.