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Finding the Fourth Proportional to 106,597.30, 149,512.70 and 106,597.30

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Solution

The fourth proportional to 106,597.30, 149,512.70 and 106,597.30 is: 149,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,597.30 : 149,512.70 = 106,597.30 : x
  2. Step 2: Convert to fraction form
    106,597.30/149,512.70 = 106,597.30/x
  3. Step 3: Cross multiply
    106,597.30x = 149,512.70 × 106,597.30
  4. Step 4: Simplify right side
    106,597.30x = 15,937,650,135.71
  5. Step 5: Solve for x
    x = 15,937,650,135.71/106,597.30
  6. Step 6: Final answer
    x = 149,512.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.