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Finding the Fourth Proportional to 124,063.80, 186,095.70 and 76,824.60

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Solution

The fourth proportional to 124,063.80, 186,095.70 and 76,824.60 is: 115,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,063.80 : 186,095.70 = 76,824.60 : x
  2. Step 2: Convert to fraction form
    124,063.80/186,095.70 = 76,824.60/x
  3. Step 3: Cross multiply
    124,063.80x = 186,095.70 × 76,824.60
  4. Step 4: Simplify right side
    124,063.80x = 14,296,727,714.22
  5. Step 5: Solve for x
    x = 14,296,727,714.22/124,063.80
  6. Step 6: Final answer
    x = 115,236.90

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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.