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Finding the Fourth Proportional to 104,564.40, 156,587.40 and 83,828.40

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Solution

The fourth proportional to 104,564.40, 156,587.40 and 83,828.40 is: 125,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,564.40 : 156,587.40 = 83,828.40 : x
  2. Step 2: Convert to fraction form
    104,564.40/156,587.40 = 83,828.40/x
  3. Step 3: Cross multiply
    104,564.40x = 156,587.40 × 83,828.40
  4. Step 4: Simplify right side
    104,564.40x = 13,126,471,202.16
  5. Step 5: Solve for x
    x = 13,126,471,202.16/104,564.40
  6. Step 6: Final answer
    x = 125,534.80

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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.