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Finding the Fourth Proportional to 157,092.72, 235,742.76 and 83,272.56

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Solution

The fourth proportional to 157,092.72, 235,742.76 and 83,272.56 is: 124,963.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,092.72 : 235,742.76 = 83,272.56 : x
  2. Step 2: Convert to fraction form
    157,092.72/235,742.76 = 83,272.56/x
  3. Step 3: Cross multiply
    157,092.72x = 235,742.76 × 83,272.56
  4. Step 4: Simplify right side
    157,092.72x = 19,630,903,126.67
  5. Step 5: Solve for x
    x = 19,630,903,126.67/157,092.72
  6. Step 6: Final answer
    x = 124,963.80

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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.