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Finding the Fourth Proportional to 114,809.80, 172,214.70 and 68,038.60

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Solution

The fourth proportional to 114,809.80, 172,214.70 and 68,038.60 is: 102,057.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,809.80 : 172,214.70 = 68,038.60 : x
  2. Step 2: Convert to fraction form
    114,809.80/172,214.70 = 68,038.60/x
  3. Step 3: Cross multiply
    114,809.80x = 172,214.70 × 68,038.60
  4. Step 4: Simplify right side
    114,809.80x = 11,717,247,087.42
  5. Step 5: Solve for x
    x = 11,717,247,087.42/114,809.80
  6. Step 6: Final answer
    x = 102,057.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.