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Finding the Fourth Proportional to 96,200.70, 144,009.45 and 72,678.30

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Solution

The fourth proportional to 96,200.70, 144,009.45 and 72,678.30 is: 108,797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,200.70 : 144,009.45 = 72,678.30 : x
  2. Step 2: Convert to fraction form
    96,200.70/144,009.45 = 72,678.30/x
  3. Step 3: Cross multiply
    96,200.70x = 144,009.45 × 72,678.30
  4. Step 4: Simplify right side
    96,200.70x = 10,466,362,009.94
  5. Step 5: Solve for x
    x = 10,466,362,009.94/96,200.70
  6. Step 6: Final answer
    x = 108,797.15

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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.