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Finding the Fourth Proportional to 224,762.85, 309,883.32 and 160,305.58

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Solution

The fourth proportional to 224,762.85, 309,883.32 and 160,305.58 is: 221,015.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,762.85 : 309,883.32 = 160,305.58 : x
  2. Step 2: Convert to fraction form
    224,762.85/309,883.32 = 160,305.58/x
  3. Step 3: Cross multiply
    224,762.85x = 309,883.32 × 160,305.58
  4. Step 4: Simplify right side
    224,762.85x = 49,676,025,732.28
  5. Step 5: Solve for x
    x = 49,676,025,732.28/224,762.85
  6. Step 6: Final answer
    x = 221,015.29

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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.