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Finding the Fourth Proportional to 233,356.30, 350,052.88 and 114,963.06

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Solution

The fourth proportional to 233,356.30, 350,052.88 and 114,963.06 is: 172,453.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,356.30 : 350,052.88 = 114,963.06 : x
  2. Step 2: Convert to fraction form
    233,356.30/350,052.88 = 114,963.06/x
  3. Step 3: Cross multiply
    233,356.30x = 350,052.88 × 114,963.06
  4. Step 4: Simplify right side
    233,356.30x = 40,243,150,246.61
  5. Step 5: Solve for x
    x = 40,243,150,246.61/233,356.30
  6. Step 6: Final answer
    x = 172,453.67

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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.