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Finding the Fourth Proportional to 262,509.68, 362,264.46 and 147,790.28

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Solution

The fourth proportional to 262,509.68, 362,264.46 and 147,790.28 is: 203,951.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,509.68 : 362,264.46 = 147,790.28 : x
  2. Step 2: Convert to fraction form
    262,509.68/362,264.46 = 147,790.28/x
  3. Step 3: Cross multiply
    262,509.68x = 362,264.46 × 147,790.28
  4. Step 4: Simplify right side
    262,509.68x = 53,539,165,977.45
  5. Step 5: Solve for x
    x = 53,539,165,977.45/262,509.68
  6. Step 6: Final answer
    x = 203,951.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.