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Finding the Fourth Proportional to 157,857.52, 236,784.48 and 45,534.03

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Solution

The fourth proportional to 157,857.52, 236,784.48 and 45,534.03 is: 68,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,857.52 : 236,784.48 = 45,534.03 : x
  2. Step 2: Convert to fraction form
    157,857.52/236,784.48 = 45,534.03/x
  3. Step 3: Cross multiply
    157,857.52x = 236,784.48 × 45,534.03
  4. Step 4: Simplify right side
    157,857.52x = 10,781,751,615.85
  5. Step 5: Solve for x
    x = 10,781,751,615.85/157,857.52
  6. Step 6: Final answer
    x = 68,300.53

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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.