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Finding the Fourth Proportional to 202,116.90, 303,175.35 and 185,714.40

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Solution

The fourth proportional to 202,116.90, 303,175.35 and 185,714.40 is: 278,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,116.90 : 303,175.35 = 185,714.40 : x
  2. Step 2: Convert to fraction form
    202,116.90/303,175.35 = 185,714.40/x
  3. Step 3: Cross multiply
    202,116.90x = 303,175.35 × 185,714.40
  4. Step 4: Simplify right side
    202,116.90x = 56,304,028,220.04
  5. Step 5: Solve for x
    x = 56,304,028,220.04/202,116.90
  6. Step 6: Final answer
    x = 278,571.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.