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Finding the Fourth Proportional to 262,877.40, 393,732.90 and 105,024.60

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Solution

The fourth proportional to 262,877.40, 393,732.90 and 105,024.60 is: 157,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,877.40 : 393,732.90 = 105,024.60 : x
  2. Step 2: Convert to fraction form
    262,877.40/393,732.90 = 105,024.60/x
  3. Step 3: Cross multiply
    262,877.40x = 393,732.90 × 105,024.60
  4. Step 4: Simplify right side
    262,877.40x = 41,351,640,329.34
  5. Step 5: Solve for x
    x = 41,351,640,329.34/262,877.40
  6. Step 6: Final answer
    x = 157,303.90

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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.