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Finding the Fourth Proportional to 202,657.90, 304,019.52 and 62,416.48

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Solution

The fourth proportional to 202,657.90, 304,019.52 and 62,416.48 is: 93,634.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,657.90 : 304,019.52 = 62,416.48 : x
  2. Step 2: Convert to fraction form
    202,657.90/304,019.52 = 62,416.48/x
  3. Step 3: Cross multiply
    202,657.90x = 304,019.52 × 62,416.48
  4. Step 4: Simplify right side
    202,657.90x = 18,975,828,289.69
  5. Step 5: Solve for x
    x = 18,975,828,289.69/202,657.90
  6. Step 6: Final answer
    x = 93,634.78

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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.