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Finding the Fourth Proportional to 100,281.70, 150,386.10 and 50,345.20

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Solution

The fourth proportional to 100,281.70, 150,386.10 and 50,345.20 is: 75,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,281.70 : 150,386.10 = 50,345.20 : x
  2. Step 2: Convert to fraction form
    100,281.70/150,386.10 = 50,345.20/x
  3. Step 3: Cross multiply
    100,281.70x = 150,386.10 × 50,345.20
  4. Step 4: Simplify right side
    100,281.70x = 7,571,218,281.72
  5. Step 5: Solve for x
    x = 7,571,218,281.72/100,281.70
  6. Step 6: Final answer
    x = 75,499.50

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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.