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Finding the Fourth Proportional to 174,002.30, 261,003.45 and 121,514.30

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Solution

The fourth proportional to 174,002.30, 261,003.45 and 121,514.30 is: 182,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,002.30 : 261,003.45 = 121,514.30 : x
  2. Step 2: Convert to fraction form
    174,002.30/261,003.45 = 121,514.30/x
  3. Step 3: Cross multiply
    174,002.30x = 261,003.45 × 121,514.30
  4. Step 4: Simplify right side
    174,002.30x = 31,715,651,524.34
  5. Step 5: Solve for x
    x = 31,715,651,524.34/174,002.30
  6. Step 6: Final answer
    x = 182,271.45

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