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Finding the Fourth Proportional to 242,201, 334,311.67 and 156,160.09

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Solution

The fourth proportional to 242,201, 334,311.67 and 156,160.09 is: 215,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,201 : 334,311.67 = 156,160.09 : x
  2. Step 2: Convert to fraction form
    242,201/334,311.67 = 156,160.09/x
  3. Step 3: Cross multiply
    242,201x = 334,311.67 × 156,160.09
  4. Step 4: Simplify right side
    242,201x = 52,206,140,475.25
  5. Step 5: Solve for x
    x = 52,206,140,475.25/242,201
  6. Step 6: Final answer
    x = 215,548.82

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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.