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Finding the Fourth Proportional to 176,232.30, 263,911.05 and 141,240.30

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Solution

The fourth proportional to 176,232.30, 263,911.05 and 141,240.30 is: 211,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,232.30 : 263,911.05 = 141,240.30 : x
  2. Step 2: Convert to fraction form
    176,232.30/263,911.05 = 141,240.30/x
  3. Step 3: Cross multiply
    176,232.30x = 263,911.05 × 141,240.30
  4. Step 4: Simplify right side
    176,232.30x = 37,274,875,875.32
  5. Step 5: Solve for x
    x = 37,274,875,875.32/176,232.30
  6. Step 6: Final answer
    x = 211,509.90

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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.