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Finding the Fourth Proportional to 174,014.30, 261,021.45 and 121,526.30

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Solution

The fourth proportional to 174,014.30, 261,021.45 and 121,526.30 is: 182,289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,014.30 : 261,021.45 = 121,526.30 : x
  2. Step 2: Convert to fraction form
    174,014.30/261,021.45 = 121,526.30/x
  3. Step 3: Cross multiply
    174,014.30x = 261,021.45 × 121,526.30
  4. Step 4: Simplify right side
    174,014.30x = 31,720,971,039.14
  5. Step 5: Solve for x
    x = 31,720,971,039.14/174,014.30
  6. Step 6: Final answer
    x = 182,289.45

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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.