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Finding the Fourth Proportional to 175,242.40, 262,863.60 and 105,200.80

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Solution

The fourth proportional to 175,242.40, 262,863.60 and 105,200.80 is: 157,801.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,242.40 : 262,863.60 = 105,200.80 : x
  2. Step 2: Convert to fraction form
    175,242.40/262,863.60 = 105,200.80/x
  3. Step 3: Cross multiply
    175,242.40x = 262,863.60 × 105,200.80
  4. Step 4: Simplify right side
    175,242.40x = 27,653,461,010.88
  5. Step 5: Solve for x
    x = 27,653,461,010.88/175,242.40
  6. Step 6: Final answer
    x = 157,801.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.