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Finding the Fourth Proportional to 156,059.10, 233,692.65 and 85,859.10

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Solution

The fourth proportional to 156,059.10, 233,692.65 and 85,859.10 is: 128,570.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,059.10 : 233,692.65 = 85,859.10 : x
  2. Step 2: Convert to fraction form
    156,059.10/233,692.65 = 85,859.10/x
  3. Step 3: Cross multiply
    156,059.10x = 233,692.65 × 85,859.10
  4. Step 4: Simplify right side
    156,059.10x = 20,064,640,605.62
  5. Step 5: Solve for x
    x = 20,064,640,605.62/156,059.10
  6. Step 6: Final answer
    x = 128,570.78

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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.