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Finding the Fourth Proportional to 176,015.20, 263,254.80 and 157,429.60

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Solution

The fourth proportional to 176,015.20, 263,254.80 and 157,429.60 is: 235,457.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,015.20 : 263,254.80 = 157,429.60 : x
  2. Step 2: Convert to fraction form
    176,015.20/263,254.80 = 157,429.60/x
  3. Step 3: Cross multiply
    176,015.20x = 263,254.80 × 157,429.60
  4. Step 4: Simplify right side
    176,015.20x = 41,444,097,862.08
  5. Step 5: Solve for x
    x = 41,444,097,862.08/176,015.20
  6. Step 6: Final answer
    x = 235,457.49

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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.