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Finding the Fourth Proportional to 178,245.52, 245,968.14 and 97,657

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Solution

The fourth proportional to 178,245.52, 245,968.14 and 97,657 is: 134,760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,245.52 : 245,968.14 = 97,657 : x
  2. Step 2: Convert to fraction form
    178,245.52/245,968.14 = 97,657/x
  3. Step 3: Cross multiply
    178,245.52x = 245,968.14 × 97,657
  4. Step 4: Simplify right side
    178,245.52x = 24,020,510,647.98
  5. Step 5: Solve for x
    x = 24,020,510,647.98/178,245.52
  6. Step 6: Final answer
    x = 134,760.81

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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.