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Finding the Fourth Proportional to 178,411.40, 246,211.11 and 97,834.12

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Solution

The fourth proportional to 178,411.40, 246,211.11 and 97,834.12 is: 135,012.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,411.40 : 246,211.11 = 97,834.12 : x
  2. Step 2: Convert to fraction form
    178,411.40/246,211.11 = 97,834.12/x
  3. Step 3: Cross multiply
    178,411.40x = 246,211.11 × 97,834.12
  4. Step 4: Simplify right side
    178,411.40x = 24,087,847,281.07
  5. Step 5: Solve for x
    x = 24,087,847,281.07/178,411.40
  6. Step 6: Final answer
    x = 135,012.94

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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.