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Finding the Fourth Proportional to 242,474.25, 363,711.23 and 114,360.74

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Solution

The fourth proportional to 242,474.25, 363,711.23 and 114,360.74 is: 171,541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,474.25 : 363,711.23 = 114,360.74 : x
  2. Step 2: Convert to fraction form
    242,474.25/363,711.23 = 114,360.74/x
  3. Step 3: Cross multiply
    242,474.25x = 363,711.23 × 114,360.74
  4. Step 4: Simplify right side
    242,474.25x = 41,594,285,409.11
  5. Step 5: Solve for x
    x = 41,594,285,409.11/242,474.25
  6. Step 6: Final answer
    x = 171,541.04

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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.