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Finding the Fourth Proportional to 100,264.46, 150,379.81 and 46,962.02

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Solution

The fourth proportional to 100,264.46, 150,379.81 and 46,962.02 is: 70,435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,264.46 : 150,379.81 = 46,962.02 : x
  2. Step 2: Convert to fraction form
    100,264.46/150,379.81 = 46,962.02/x
  3. Step 3: Cross multiply
    100,264.46x = 150,379.81 × 46,962.02
  4. Step 4: Simplify right side
    100,264.46x = 7,062,139,644.82
  5. Step 5: Solve for x
    x = 7,062,139,644.82/100,264.46
  6. Step 6: Final answer
    x = 70,435.12

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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.