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Finding the Fourth Proportional to 298,130.60, 447,042.30 and 111,045.80

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Solution

The fourth proportional to 298,130.60, 447,042.30 and 111,045.80 is: 166,511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,130.60 : 447,042.30 = 111,045.80 : x
  2. Step 2: Convert to fraction form
    298,130.60/447,042.30 = 111,045.80/x
  3. Step 3: Cross multiply
    298,130.60x = 447,042.30 × 111,045.80
  4. Step 4: Simplify right side
    298,130.60x = 49,642,169,837.34
  5. Step 5: Solve for x
    x = 49,642,169,837.34/298,130.60
  6. Step 6: Final answer
    x = 166,511.49

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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.