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Finding the Fourth Proportional to 193,678.74, 289,893.15 and 100,055.70

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Solution

The fourth proportional to 193,678.74, 289,893.15 and 100,055.70 is: 149,760.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,678.74 : 289,893.15 = 100,055.70 : x
  2. Step 2: Convert to fraction form
    193,678.74/289,893.15 = 100,055.70/x
  3. Step 3: Cross multiply
    193,678.74x = 289,893.15 × 100,055.70
  4. Step 4: Simplify right side
    193,678.74x = 29,005,462,048.46
  5. Step 5: Solve for x
    x = 29,005,462,048.46/193,678.74
  6. Step 6: Final answer
    x = 149,760.69

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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.