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Finding the Fourth Proportional to 209,312.80, 313,969.20 and 150,701.20

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Solution

The fourth proportional to 209,312.80, 313,969.20 and 150,701.20 is: 226,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,312.80 : 313,969.20 = 150,701.20 : x
  2. Step 2: Convert to fraction form
    209,312.80/313,969.20 = 150,701.20/x
  3. Step 3: Cross multiply
    209,312.80x = 313,969.20 × 150,701.20
  4. Step 4: Simplify right side
    209,312.80x = 47,315,535,203.04
  5. Step 5: Solve for x
    x = 47,315,535,203.04/209,312.80
  6. Step 6: Final answer
    x = 226,051.80

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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.