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Finding the Fourth Proportional to 157,106.40, 235,400.40 and 133,778.40

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Solution

The fourth proportional to 157,106.40, 235,400.40 and 133,778.40 is: 200,446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,106.40 : 235,400.40 = 133,778.40 : x
  2. Step 2: Convert to fraction form
    157,106.40/235,400.40 = 133,778.40/x
  3. Step 3: Cross multiply
    157,106.40x = 235,400.40 × 133,778.40
  4. Step 4: Simplify right side
    157,106.40x = 31,491,488,871.36
  5. Step 5: Solve for x
    x = 31,491,488,871.36/157,106.40
  6. Step 6: Final answer
    x = 200,446.89

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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.