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Finding the Fourth Proportional to 162,821.64, 224,720.88 and 111,792.60

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Solution

The fourth proportional to 162,821.64, 224,720.88 and 111,792.60 is: 154,292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,821.64 : 224,720.88 = 111,792.60 : x
  2. Step 2: Convert to fraction form
    162,821.64/224,720.88 = 111,792.60/x
  3. Step 3: Cross multiply
    162,821.64x = 224,720.88 × 111,792.60
  4. Step 4: Simplify right side
    162,821.64x = 25,122,131,449.49
  5. Step 5: Solve for x
    x = 25,122,131,449.49/162,821.64
  6. Step 6: Final answer
    x = 154,292.34

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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.