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Finding the Fourth Proportional to 183,713.86, 275,314.20 and 99,292.06

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Solution

The fourth proportional to 183,713.86, 275,314.20 and 99,292.06 is: 148,799.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,713.86 : 275,314.20 = 99,292.06 : x
  2. Step 2: Convert to fraction form
    183,713.86/275,314.20 = 99,292.06/x
  3. Step 3: Cross multiply
    183,713.86x = 275,314.20 × 99,292.06
  4. Step 4: Simplify right side
    183,713.86x = 27,336,514,065.25
  5. Step 5: Solve for x
    x = 27,336,514,065.25/183,713.86
  6. Step 6: Final answer
    x = 148,799.41

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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.