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Finding the Fourth Proportional to 360,463.24, 540,702.30 and 111,145

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Solution

The fourth proportional to 360,463.24, 540,702.30 and 111,145 is: 166,719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,463.24 : 540,702.30 = 111,145 : x
  2. Step 2: Convert to fraction form
    360,463.24/540,702.30 = 111,145/x
  3. Step 3: Cross multiply
    360,463.24x = 540,702.30 × 111,145
  4. Step 4: Simplify right side
    360,463.24x = 60,096,357,133.50
  5. Step 5: Solve for x
    x = 60,096,357,133.50/360,463.24
  6. Step 6: Final answer
    x = 166,719.79

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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.