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Finding the Fourth Proportional to 149,927.24, 224,953.02 and 65,643.90

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Solution

The fourth proportional to 149,927.24, 224,953.02 and 65,643.90 is: 98,493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,927.24 : 224,953.02 = 65,643.90 : x
  2. Step 2: Convert to fraction form
    149,927.24/224,953.02 = 65,643.90/x
  3. Step 3: Cross multiply
    149,927.24x = 224,953.02 × 65,643.90
  4. Step 4: Simplify right side
    149,927.24x = 14,766,793,549.58
  5. Step 5: Solve for x
    x = 14,766,793,549.58/149,927.24
  6. Step 6: Final answer
    x = 98,493.07

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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.