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Finding the Fourth Proportional to 102,647.45, 153,975.49 and 50,101.13

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Solution

The fourth proportional to 102,647.45, 153,975.49 and 50,101.13 is: 75,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,647.45 : 153,975.49 = 50,101.13 : x
  2. Step 2: Convert to fraction form
    102,647.45/153,975.49 = 50,101.13/x
  3. Step 3: Cross multiply
    102,647.45x = 153,975.49 × 50,101.13
  4. Step 4: Simplify right side
    102,647.45x = 7,714,345,146.17
  5. Step 5: Solve for x
    x = 7,714,345,146.17/102,647.45
  6. Step 6: Final answer
    x = 75,153.80

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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.