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Finding the Fourth Proportional to 151,503.40, 209,076.16 and 83,523.04

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Solution

The fourth proportional to 151,503.40, 209,076.16 and 83,523.04 is: 115,262.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,503.40 : 209,076.16 = 83,523.04 : x
  2. Step 2: Convert to fraction form
    151,503.40/209,076.16 = 83,523.04/x
  3. Step 3: Cross multiply
    151,503.40x = 209,076.16 × 83,523.04
  4. Step 4: Simplify right side
    151,503.40x = 17,462,676,474.73
  5. Step 5: Solve for x
    x = 17,462,676,474.73/151,503.40
  6. Step 6: Final answer
    x = 115,262.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.