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Finding the Fourth Proportional to 283,164.40, 424,746.60 and 157,193.20

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Solution

The fourth proportional to 283,164.40, 424,746.60 and 157,193.20 is: 235,789.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,164.40 : 424,746.60 = 157,193.20 : x
  2. Step 2: Convert to fraction form
    283,164.40/424,746.60 = 157,193.20/x
  3. Step 3: Cross multiply
    283,164.40x = 424,746.60 × 157,193.20
  4. Step 4: Simplify right side
    283,164.40x = 66,767,277,243.12
  5. Step 5: Solve for x
    x = 66,767,277,243.12/283,164.40
  6. Step 6: Final answer
    x = 235,789.80

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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.