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Finding the Fourth Proportional to 193,228.40, 289,842.60 and 158,207.60

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Solution

The fourth proportional to 193,228.40, 289,842.60 and 158,207.60 is: 237,311.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,228.40 : 289,842.60 = 158,207.60 : x
  2. Step 2: Convert to fraction form
    193,228.40/289,842.60 = 158,207.60/x
  3. Step 3: Cross multiply
    193,228.40x = 289,842.60 × 158,207.60
  4. Step 4: Simplify right side
    193,228.40x = 45,855,302,123.76
  5. Step 5: Solve for x
    x = 45,855,302,123.76/193,228.40
  6. Step 6: Final answer
    x = 237,311.40

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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.