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Finding the Fourth Proportional to 100,107.50, 150,210.45 and 46,803.12

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Solution

The fourth proportional to 100,107.50, 150,210.45 and 46,803.12 is: 70,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,107.50 : 150,210.45 = 46,803.12 : x
  2. Step 2: Convert to fraction form
    100,107.50/150,210.45 = 46,803.12/x
  3. Step 3: Cross multiply
    100,107.50x = 150,210.45 × 46,803.12
  4. Step 4: Simplify right side
    100,107.50x = 7,030,317,153.31
  5. Step 5: Solve for x
    x = 7,030,317,153.31/100,107.50
  6. Step 6: Final answer
    x = 70,227.68

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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.