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Finding the Fourth Proportional to 183,705.86, 275,302.20 and 99,284.06

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Solution

The fourth proportional to 183,705.86, 275,302.20 and 99,284.06 is: 148,787.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,705.86 : 275,302.20 = 99,284.06 : x
  2. Step 2: Convert to fraction form
    183,705.86/275,302.20 = 99,284.06/x
  3. Step 3: Cross multiply
    183,705.86x = 275,302.20 × 99,284.06
  4. Step 4: Simplify right side
    183,705.86x = 27,333,120,142.93
  5. Step 5: Solve for x
    x = 27,333,120,142.93/183,705.86
  6. Step 6: Final answer
    x = 148,787.42

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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.