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Finding the Fourth Proportional to 253,835.64, 350,292.24 and 140,658.30

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Solution

The fourth proportional to 253,835.64, 350,292.24 and 140,658.30 is: 194,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,835.64 : 350,292.24 = 140,658.30 : x
  2. Step 2: Convert to fraction form
    253,835.64/350,292.24 = 140,658.30/x
  3. Step 3: Cross multiply
    253,835.64x = 350,292.24 × 140,658.30
  4. Step 4: Simplify right side
    253,835.64x = 49,271,510,981.59
  5. Step 5: Solve for x
    x = 49,271,510,981.59/253,835.64
  6. Step 6: Final answer
    x = 194,107.93

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1.5x scale

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.