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Finding the Fourth Proportional to 202,898.16, 304,132.32 and 76,483.62

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Solution

The fourth proportional to 202,898.16, 304,132.32 and 76,483.62 is: 114,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,898.16 : 304,132.32 = 76,483.62 : x
  2. Step 2: Convert to fraction form
    202,898.16/304,132.32 = 76,483.62/x
  3. Step 3: Cross multiply
    202,898.16x = 304,132.32 × 76,483.62
  4. Step 4: Simplify right side
    202,898.16x = 23,261,140,792.60
  5. Step 5: Solve for x
    x = 23,261,140,792.60/202,898.16
  6. Step 6: Final answer
    x = 114,644.41

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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.