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Finding the Fourth Proportional to 262,774.02, 362,628 and 141,915.24

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Solution

The fourth proportional to 262,774.02, 362,628 and 141,915.24 is: 195,842.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,774.02 : 362,628 = 141,915.24 : x
  2. Step 2: Convert to fraction form
    262,774.02/362,628 = 141,915.24/x
  3. Step 3: Cross multiply
    262,774.02x = 362,628 × 141,915.24
  4. Step 4: Simplify right side
    262,774.02x = 51,462,439,650.72
  5. Step 5: Solve for x
    x = 51,462,439,650.72/262,774.02
  6. Step 6: Final answer
    x = 195,842.95

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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.