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Finding the Fourth Proportional to 128,000.20, 191,942.70 and 49,088.20

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Solution

The fourth proportional to 128,000.20, 191,942.70 and 49,088.20 is: 73,610.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,000.20 : 191,942.70 = 49,088.20 : x
  2. Step 2: Convert to fraction form
    128,000.20/191,942.70 = 49,088.20/x
  3. Step 3: Cross multiply
    128,000.20x = 191,942.70 × 49,088.20
  4. Step 4: Simplify right side
    128,000.20x = 9,422,121,646.14
  5. Step 5: Solve for x
    x = 9,422,121,646.14/128,000.20
  6. Step 6: Final answer
    x = 73,610.21

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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.