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Finding the Fourth Proportional to 260,115.25, 358,988.22 and 146,945.29

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Solution

The fourth proportional to 260,115.25, 358,988.22 and 146,945.29 is: 202,800.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,115.25 : 358,988.22 = 146,945.29 : x
  2. Step 2: Convert to fraction form
    260,115.25/358,988.22 = 146,945.29/x
  3. Step 3: Cross multiply
    260,115.25x = 358,988.22 × 146,945.29
  4. Step 4: Simplify right side
    260,115.25x = 52,751,628,094.48
  5. Step 5: Solve for x
    x = 52,751,628,094.48/260,115.25
  6. Step 6: Final answer
    x = 202,800.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.