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Finding the Fourth Proportional to 252,646.64, 378,917.76 and 94,871.60

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Solution

The fourth proportional to 252,646.64, 378,917.76 and 94,871.60 is: 142,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,646.64 : 378,917.76 = 94,871.60 : x
  2. Step 2: Convert to fraction form
    252,646.64/378,917.76 = 94,871.60/x
  3. Step 3: Cross multiply
    252,646.64x = 378,917.76 × 94,871.60
  4. Step 4: Simplify right side
    252,646.64x = 35,948,534,159.62
  5. Step 5: Solve for x
    x = 35,948,534,159.62/252,646.64
  6. Step 6: Final answer
    x = 142,287.80

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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.