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Finding the Fourth Proportional to 157,007, 235,452.90 and 51,794.84

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Solution

The fourth proportional to 157,007, 235,452.90 and 51,794.84 is: 77,673.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,007 : 235,452.90 = 51,794.84 : x
  2. Step 2: Convert to fraction form
    157,007/235,452.90 = 51,794.84/x
  3. Step 3: Cross multiply
    157,007x = 235,452.90 × 51,794.84
  4. Step 4: Simplify right side
    157,007x = 12,195,245,283.04
  5. Step 5: Solve for x
    x = 12,195,245,283.04/157,007
  6. Step 6: Final answer
    x = 77,673.26

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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.