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Finding the Fourth Proportional to 143,313.10, 214,969.65 and 110,200.30

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Solution

The fourth proportional to 143,313.10, 214,969.65 and 110,200.30 is: 165,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,313.10 : 214,969.65 = 110,200.30 : x
  2. Step 2: Convert to fraction form
    143,313.10/214,969.65 = 110,200.30/x
  3. Step 3: Cross multiply
    143,313.10x = 214,969.65 × 110,200.30
  4. Step 4: Simplify right side
    143,313.10x = 23,689,719,920.90
  5. Step 5: Solve for x
    x = 23,689,719,920.90/143,313.10
  6. Step 6: Final answer
    x = 165,300.45

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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.