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Finding the Fourth Proportional to 109,654.92, 164,223.28 and 53,533.46

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Solution

The fourth proportional to 109,654.92, 164,223.28 and 53,533.46 is: 80,173.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,654.92 : 164,223.28 = 53,533.46 : x
  2. Step 2: Convert to fraction form
    109,654.92/164,223.28 = 53,533.46/x
  3. Step 3: Cross multiply
    109,654.92x = 164,223.28 × 53,533.46
  4. Step 4: Simplify right side
    109,654.92x = 8,791,440,868.42
  5. Step 5: Solve for x
    x = 8,791,440,868.42/109,654.92
  6. Step 6: Final answer
    x = 80,173.70

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1.5x scale

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.