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Finding the Fourth Proportional to 275,897.60, 413,918.40 and 88,913.60

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Solution

The fourth proportional to 275,897.60, 413,918.40 and 88,913.60 is: 133,393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,897.60 : 413,918.40 = 88,913.60 : x
  2. Step 2: Convert to fraction form
    275,897.60/413,918.40 = 88,913.60/x
  3. Step 3: Cross multiply
    275,897.60x = 413,918.40 × 88,913.60
  4. Step 4: Simplify right side
    275,897.60x = 36,802,975,050.24
  5. Step 5: Solve for x
    x = 36,802,975,050.24/275,897.60
  6. Step 6: Final answer
    x = 133,393.60

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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.