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Finding the Fourth Proportional to 100,393.16, 150,534.76 and 46,299.14

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Solution

The fourth proportional to 100,393.16, 150,534.76 and 46,299.14 is: 69,423.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,393.16 : 150,534.76 = 46,299.14 : x
  2. Step 2: Convert to fraction form
    100,393.16/150,534.76 = 46,299.14/x
  3. Step 3: Cross multiply
    100,393.16x = 150,534.76 × 46,299.14
  4. Step 4: Simplify right side
    100,393.16x = 6,969,629,928.11
  5. Step 5: Solve for x
    x = 6,969,629,928.11/100,393.16
  6. Step 6: Final answer
    x = 69,423.35

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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.