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Finding the Fourth Proportional to 290,014.53, 435,042.53 and 121,365.03

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Solution

The fourth proportional to 290,014.53, 435,042.53 and 121,365.03 is: 182,056.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,014.53 : 435,042.53 = 121,365.03 : x
  2. Step 2: Convert to fraction form
    290,014.53/435,042.53 = 121,365.03/x
  3. Step 3: Cross multiply
    290,014.53x = 435,042.53 × 121,365.03
  4. Step 4: Simplify right side
    290,014.53x = 52,798,949,704.73
  5. Step 5: Solve for x
    x = 52,798,949,704.73/290,014.53
  6. Step 6: Final answer
    x = 182,056.22

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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.