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Finding the Fourth Proportional to 247,238.16, 370,967.76 and 114,047.16

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Solution

The fourth proportional to 247,238.16, 370,967.76 and 114,047.16 is: 171,121.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,238.16 : 370,967.76 = 114,047.16 : x
  2. Step 2: Convert to fraction form
    247,238.16/370,967.76 = 114,047.16/x
  3. Step 3: Cross multiply
    247,238.16x = 370,967.76 × 114,047.16
  4. Step 4: Simplify right side
    247,238.16x = 42,307,819,479.56
  5. Step 5: Solve for x
    x = 42,307,819,479.56/247,238.16
  6. Step 6: Final answer
    x = 171,121.72

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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.