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Finding the Fourth Proportional to 180,232.28, 248,717.95 and 99,658.03

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Solution

The fourth proportional to 180,232.28, 248,717.95 and 99,658.03 is: 137,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,232.28 : 248,717.95 = 99,658.03 : x
  2. Step 2: Convert to fraction form
    180,232.28/248,717.95 = 99,658.03/x
  3. Step 3: Cross multiply
    180,232.28x = 248,717.95 × 99,658.03
  4. Step 4: Simplify right side
    180,232.28x = 24,786,740,922.64
  5. Step 5: Solve for x
    x = 24,786,740,922.64/180,232.28
  6. Step 6: Final answer
    x = 137,526.65

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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.