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Finding the Fourth Proportional to 178,419.71, 246,219.54 and 97,847.84

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Solution

The fourth proportional to 178,419.71, 246,219.54 and 97,847.84 is: 135,030.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,419.71 : 246,219.54 = 97,847.84 : x
  2. Step 2: Convert to fraction form
    178,419.71/246,219.54 = 97,847.84/x
  3. Step 3: Cross multiply
    178,419.71x = 246,219.54 × 97,847.84
  4. Step 4: Simplify right side
    178,419.71x = 24,092,050,154.79
  5. Step 5: Solve for x
    x = 24,092,050,154.79/178,419.71
  6. Step 6: Final answer
    x = 135,030.21

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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.