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Finding the Fourth Proportional to 224,208.66, 309,232.92 and 143,643.66

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Solution

The fourth proportional to 224,208.66, 309,232.92 and 143,643.66 is: 198,116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,208.66 : 309,232.92 = 143,643.66 : x
  2. Step 2: Convert to fraction form
    224,208.66/309,232.92 = 143,643.66/x
  3. Step 3: Cross multiply
    224,208.66x = 309,232.92 × 143,643.66
  4. Step 4: Simplify right side
    224,208.66x = 44,419,348,421.29
  5. Step 5: Solve for x
    x = 44,419,348,421.29/224,208.66
  6. Step 6: Final answer
    x = 198,116.11

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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.