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Finding the Fourth Proportional to 150,830.96, 208,000.23 and 101,880.23

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Solution

The fourth proportional to 150,830.96, 208,000.23 and 101,880.23 is: 140,495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,830.96 : 208,000.23 = 101,880.23 : x
  2. Step 2: Convert to fraction form
    150,830.96/208,000.23 = 101,880.23/x
  3. Step 3: Cross multiply
    150,830.96x = 208,000.23 × 101,880.23
  4. Step 4: Simplify right side
    150,830.96x = 21,191,110,232.45
  5. Step 5: Solve for x
    x = 21,191,110,232.45/150,830.96
  6. Step 6: Final answer
    x = 140,495.76

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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.