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Finding the Fourth Proportional to 232,512.30, 348,768.45 and 114,414.30

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Solution

The fourth proportional to 232,512.30, 348,768.45 and 114,414.30 is: 171,621.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,512.30 : 348,768.45 = 114,414.30 : x
  2. Step 2: Convert to fraction form
    232,512.30/348,768.45 = 114,414.30/x
  3. Step 3: Cross multiply
    232,512.30x = 348,768.45 × 114,414.30
  4. Step 4: Simplify right side
    232,512.30x = 39,904,098,068.84
  5. Step 5: Solve for x
    x = 39,904,098,068.84/232,512.30
  6. Step 6: Final answer
    x = 171,621.45

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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.