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Finding the Fourth Proportional to 104,509.74, 156,615.16 and 83,513.64

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Solution

The fourth proportional to 104,509.74, 156,615.16 and 83,513.64 is: 125,151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,509.74 : 156,615.16 = 83,513.64 : x
  2. Step 2: Convert to fraction form
    104,509.74/156,615.16 = 83,513.64/x
  3. Step 3: Cross multiply
    104,509.74x = 156,615.16 × 83,513.64
  4. Step 4: Simplify right side
    104,509.74x = 13,079,502,090.78
  5. Step 5: Solve for x
    x = 13,079,502,090.78/104,509.74
  6. Step 6: Final answer
    x = 125,151.03

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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.