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Finding the Fourth Proportional to 137,401.40, 206,166.90 and 102,409.40

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Solution

The fourth proportional to 137,401.40, 206,166.90 and 102,409.40 is: 153,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,401.40 : 206,166.90 = 102,409.40 : x
  2. Step 2: Convert to fraction form
    137,401.40/206,166.90 = 102,409.40/x
  3. Step 3: Cross multiply
    137,401.40x = 206,166.90 × 102,409.40
  4. Step 4: Simplify right side
    137,401.40x = 21,113,428,528.86
  5. Step 5: Solve for x
    x = 21,113,428,528.86/137,401.40
  6. Step 6: Final answer
    x = 153,662.40

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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.