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Finding the Fourth Proportional to 193,079.60, 289,619.40 and 146,423.60

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Solution

The fourth proportional to 193,079.60, 289,619.40 and 146,423.60 is: 219,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,079.60 : 289,619.40 = 146,423.60 : x
  2. Step 2: Convert to fraction form
    193,079.60/289,619.40 = 146,423.60/x
  3. Step 3: Cross multiply
    193,079.60x = 289,619.40 × 146,423.60
  4. Step 4: Simplify right side
    193,079.60x = 42,407,115,177.84
  5. Step 5: Solve for x
    x = 42,407,115,177.84/193,079.60
  6. Step 6: Final answer
    x = 219,635.40

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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.