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Finding the Fourth Proportional to 333,825.17, 500,780.19 and 106,039.52

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Solution

The fourth proportional to 333,825.17, 500,780.19 and 106,039.52 is: 159,072.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,825.17 : 500,780.19 = 106,039.52 : x
  2. Step 2: Convert to fraction form
    333,825.17/500,780.19 = 106,039.52/x
  3. Step 3: Cross multiply
    333,825.17x = 500,780.19 × 106,039.52
  4. Step 4: Simplify right side
    333,825.17x = 53,102,490,973.11
  5. Step 5: Solve for x
    x = 53,102,490,973.11/333,825.17
  6. Step 6: Final answer
    x = 159,072.76

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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.