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Finding the Fourth Proportional to 178,390.65, 246,181.47 and 97,817.97

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Solution

The fourth proportional to 178,390.65, 246,181.47 and 97,817.97 is: 134,990.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,390.65 : 246,181.47 = 97,817.97 : x
  2. Step 2: Convert to fraction form
    178,390.65/246,181.47 = 97,817.97/x
  3. Step 3: Cross multiply
    178,390.65x = 246,181.47 × 97,817.97
  4. Step 4: Simplify right side
    178,390.65x = 24,080,971,647.02
  5. Step 5: Solve for x
    x = 24,080,971,647.02/178,390.65
  6. Step 6: Final answer
    x = 134,990.10

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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.