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Finding the Fourth Proportional to 208,172.48, 312,223.20 and 75,026.24

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Solution

The fourth proportional to 208,172.48, 312,223.20 and 75,026.24 is: 112,526.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,172.48 : 312,223.20 = 75,026.24 : x
  2. Step 2: Convert to fraction form
    208,172.48/312,223.20 = 75,026.24/x
  3. Step 3: Cross multiply
    208,172.48x = 312,223.20 × 75,026.24
  4. Step 4: Simplify right side
    208,172.48x = 23,424,932,736.77
  5. Step 5: Solve for x
    x = 23,424,932,736.77/208,172.48
  6. Step 6: Final answer
    x = 112,526.56

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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.