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Finding the Fourth Proportional to 157,586.73, 235,151 and 140,602.99

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Solution

The fourth proportional to 157,586.73, 235,151 and 140,602.99 is: 209,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,586.73 : 235,151 = 140,602.99 : x
  2. Step 2: Convert to fraction form
    157,586.73/235,151 = 140,602.99/x
  3. Step 3: Cross multiply
    157,586.73x = 235,151 × 140,602.99
  4. Step 4: Simplify right side
    157,586.73x = 33,062,933,701.49
  5. Step 5: Solve for x
    x = 33,062,933,701.49/157,586.73
  6. Step 6: Final answer
    x = 209,807.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.