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Finding the Fourth Proportional to 178,148.40, 266,704.20 and 157,412.40

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Solution

The fourth proportional to 178,148.40, 266,704.20 and 157,412.40 is: 235,660.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,148.40 : 266,704.20 = 157,412.40 : x
  2. Step 2: Convert to fraction form
    178,148.40/266,704.20 = 157,412.40/x
  3. Step 3: Cross multiply
    178,148.40x = 266,704.20 × 157,412.40
  4. Step 4: Simplify right side
    178,148.40x = 41,982,548,212.08
  5. Step 5: Solve for x
    x = 41,982,548,212.08/178,148.40
  6. Step 6: Final answer
    x = 235,660.54

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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.