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Finding the Fourth Proportional to 104,223.24, 156,159.90 and 83,403

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Solution

The fourth proportional to 104,223.24, 156,159.90 and 83,403 is: 124,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,223.24 : 156,159.90 = 83,403 : x
  2. Step 2: Convert to fraction form
    104,223.24/156,159.90 = 83,403/x
  3. Step 3: Cross multiply
    104,223.24x = 156,159.90 × 83,403
  4. Step 4: Simplify right side
    104,223.24x = 13,024,204,139.70
  5. Step 5: Solve for x
    x = 13,024,204,139.70/104,223.24
  6. Step 6: Final answer
    x = 124,964.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.