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Finding the Fourth Proportional to 282,657.25, 424,180.28 and 116,445.25

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Solution

The fourth proportional to 282,657.25, 424,180.28 and 116,445.25 is: 174,747.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,657.25 : 424,180.28 = 116,445.25 : x
  2. Step 2: Convert to fraction form
    282,657.25/424,180.28 = 116,445.25/x
  3. Step 3: Cross multiply
    282,657.25x = 424,180.28 × 116,445.25
  4. Step 4: Simplify right side
    282,657.25x = 49,393,778,749.67
  5. Step 5: Solve for x
    x = 49,393,778,749.67/282,657.25
  6. Step 6: Final answer
    x = 174,747.96

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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.