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Finding the Fourth Proportional to 339,202.63, 508,877.75 and 102,539.16

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Solution

The fourth proportional to 339,202.63, 508,877.75 and 102,539.16 is: 153,831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,202.63 : 508,877.75 = 102,539.16 : x
  2. Step 2: Convert to fraction form
    339,202.63/508,877.75 = 102,539.16/x
  3. Step 3: Cross multiply
    339,202.63x = 508,877.75 × 102,539.16
  4. Step 4: Simplify right side
    339,202.63x = 52,179,895,375.75
  5. Step 5: Solve for x
    x = 52,179,895,375.75/339,202.63
  6. Step 6: Final answer
    x = 153,831.05

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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.