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Finding the Fourth Proportional to 253,188.14, 349,121.42 and 162,509.86

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Solution

The fourth proportional to 253,188.14, 349,121.42 and 162,509.86 is: 224,085.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,188.14 : 349,121.42 = 162,509.86 : x
  2. Step 2: Convert to fraction form
    253,188.14/349,121.42 = 162,509.86/x
  3. Step 3: Cross multiply
    253,188.14x = 349,121.42 × 162,509.86
  4. Step 4: Simplify right side
    253,188.14x = 56,735,670,529.04
  5. Step 5: Solve for x
    x = 56,735,670,529.04/253,188.14
  6. Step 6: Final answer
    x = 224,085.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.