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Finding the Fourth Proportional to 178,861.53, 268,040.79 and 141,256.47

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Solution

The fourth proportional to 178,861.53, 268,040.79 and 141,256.47 is: 211,686.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,861.53 : 268,040.79 = 141,256.47 : x
  2. Step 2: Convert to fraction form
    178,861.53/268,040.79 = 141,256.47/x
  3. Step 3: Cross multiply
    178,861.53x = 268,040.79 × 141,256.47
  4. Step 4: Simplify right side
    178,861.53x = 37,862,495,811.41
  5. Step 5: Solve for x
    x = 37,862,495,811.41/178,861.53
  6. Step 6: Final answer
    x = 211,686.08

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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.