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Finding the Fourth Proportional to 242,392.80, 334,515.84 and 145,626.24

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Solution

The fourth proportional to 242,392.80, 334,515.84 and 145,626.24 is: 200,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,392.80 : 334,515.84 = 145,626.24 : x
  2. Step 2: Convert to fraction form
    242,392.80/334,515.84 = 145,626.24/x
  3. Step 3: Cross multiply
    242,392.80x = 334,515.84 × 145,626.24
  4. Step 4: Simplify right side
    242,392.80x = 48,714,283,999.64
  5. Step 5: Solve for x
    x = 48,714,283,999.64/242,392.80
  6. Step 6: Final answer
    x = 200,972.49

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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.