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Finding the Fourth Proportional to 253,918.88, 350,395.80 and 146,523.60

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Solution

The fourth proportional to 253,918.88, 350,395.80 and 146,523.60 is: 202,195.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,918.88 : 350,395.80 = 146,523.60 : x
  2. Step 2: Convert to fraction form
    253,918.88/350,395.80 = 146,523.60/x
  3. Step 3: Cross multiply
    253,918.88x = 350,395.80 × 146,523.60
  4. Step 4: Simplify right side
    253,918.88x = 51,341,254,040.88
  5. Step 5: Solve for x
    x = 51,341,254,040.88/253,918.88
  6. Step 6: Final answer
    x = 202,195.50

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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.