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Finding the Fourth Proportional to 172,101.34, 237,533.85 and 109,972.11

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Solution

The fourth proportional to 172,101.34, 237,533.85 and 109,972.11 is: 151,783.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,101.34 : 237,533.85 = 109,972.11 : x
  2. Step 2: Convert to fraction form
    172,101.34/237,533.85 = 109,972.11/x
  3. Step 3: Cross multiply
    172,101.34x = 237,533.85 × 109,972.11
  4. Step 4: Simplify right side
    172,101.34x = 26,122,099,571.68
  5. Step 5: Solve for x
    x = 26,122,099,571.68/172,101.34
  6. Step 6: Final answer
    x = 151,783.24

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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.