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Finding the Fourth Proportional to 178,052.24, 245,715 and 97,478.42

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Solution

The fourth proportional to 178,052.24, 245,715 and 97,478.42 is: 134,521.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,052.24 : 245,715 = 97,478.42 : x
  2. Step 2: Convert to fraction form
    178,052.24/245,715 = 97,478.42/x
  3. Step 3: Cross multiply
    178,052.24x = 245,715 × 97,478.42
  4. Step 4: Simplify right side
    178,052.24x = 23,951,909,970.30
  5. Step 5: Solve for x
    x = 23,951,909,970.30/178,052.24
  6. Step 6: Final answer
    x = 134,521.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.